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Simplifying (x + 7)(x + -10) = 0 Reorder the terms: (7 + x)(x + -10) = 0 Reorder the terms: (7 + x)(-10 + x) = 0 Multiply (7 + x) * (-10 + x) (7(-10 + x) + x(-10 + x)) = 0 ((-10 * 7 + x * 7) + x(-10 + x)) = 0 ((-70 + 7x) + x(-10 + x)) = 0 (-70 + 7x + (-10 * x + x * x)) = 0 (-70 + 7x + (-10x + x2)) = 0 Combine like terms: 7x + -10x = -3x (-70 + -3x + x2) = 0 Solving -70 + -3x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -1x)(10 + -1x) = 0Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-7, 10}
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