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Q: When you factor using the zero product rule the solutions to the simpler equations are also the solutions to the original equation true or false?

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True yal :)

The statement is true.

Assuming you mean:(4x+36)(8x-40) = 0 then you can use the property that a product can only be zero if one of its factors is zero. In other words, you can change this to: 4x + 36 = 0 OR 8x - 40 = 0 Solve each of the individual solutions; their solutions are also solutions to the original equation.

Yes. In fact, you can have any number of solutions you want. Here is an example of an algebraic equation with three solutions:(x - 2)(x - 5)(x + 4) = 0 The solutions are 2, 5, 4, since for each of these, one of the factors will be zero, and therefore, the product will also be zero.

Joint variation equations are equations that have a variable equal to the product of two or more other variables and usually a coefficient. For example, an equation like x=2yz.

In the chemical equations the up arrow means the "product is a Gas".

reactants are found on the left side of the equations because you react it and product is after the arrow on the right side of the equation to show that the reactants formed a product such and such

The product(s). These are the original substances.

One of the main reasons this is done is to solve quadratic equations. If you have an equation such as: x squared + 5x + 6 = 0 (and it is important in this case that the right side be equal to zero), you can solve this through factoring as follows: (x + 3) (x + 2) = 0 The product can only be equal to zero if one of the factors is zero, so either: x + 3 = 0 or: x + 2 = 0 If you solve the two equations separately (which is easy, in this factored form), you get the two solutions (-3, and -2). You can easily check that these are, indeed, solutions to the original equation. Just replace and do the calculations.

Assuming you mean:(4x+36)(8x-40) = 0 then you can use the property that a product can only be zero if one of its factors is zero. In other words, you can change this to: 4x + 36 = 0 OR 8x - 40 = 0 Solve each of the individual solutions; their solutions are also solutions to the original equation.

the product of an equation is the multiples made by them

3 x - 7 = -21

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