to factor this equation you need to use the quadratic formula:
in this question a=1, b=1, c= -10
so after you plug in those number you answer would be:
x= (-1+ or - the square root of -39) divided by 2
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The expression 2x squared minus x squared simplifies to x squared. This is because when subtracting like terms, you subtract the coefficients while keeping the variable and its exponent the same. In this case, 2x squared minus x squared leaves you with just x squared.
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what two numbers multiply to 24 and add to -10? -4 and -6 look good, so: (x - 4)(x - 6) x = 4 or 6
The domain is what you choose it to be. You could, for example, choose the domain to be [3, 6.5] If the domain is the real numbers, the range is [-12.25, ∞).
7x + 8 = 10x - 2 ∴ 3x = 10 ∴ x = 10/3