This is an expression, not an equation.
To rearrange it, you arrange the expression so that the first set of terms have a variable (letter) in common. Arrange the rest so that they follow a similar patter (see working below). Then factorise.
2pr + 6qs - 3qr - 4ps.
Select r to be the common variable for the first two terms.
So 2pr - 3qr + 6qs - 4ps
You will see that terms (now numbered) 3 and 4 have s in common. But, while with the first two, the term with p comes before the term with q, with 3 and 4, it is the other way around. So swap terms 3 and 4.
2pr - 3qr - 4ps + 6qs
Common factor of terms 1 and 2 = r, common factor of terms 3 and 4 = s:
r(2p - 3q) - 2s(2p - 3q)
and then (2p - 3q) is a common factor
so (2p - 3q)(r - 2s)
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yes because every of mathematics is an equation
Solve for what? Do you want to rearrange the equation for y to be a function of x? y = 70 - 4x Do you want to rearrange it as a function of y? x = (70 - y) / 4 You'll need to be more specific in exactly what you want done.
The letters 'y', 'm', 'x' plus 'b' in mathematics mean a specific number in an algebraic equation. The objective is to work out what the values of the letters are.
Rearrange the second equation as x = 10+y and then substitute it into the first equation which will create a quadratic equation in the form of: 2y2+30y+100 = 0 and when solved y = -10 or y = -5 Therefore the solutions are: x = 0, y = -10 and x = 5, y = -5
A quadratic equation.