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Simplifying (x + -7)(x + -8) = 0 Reorder the terms: (-7 + x)(x + -8) = 0 Reorder the terms: (-7 + x)(-8 + x) = 0 Multiply (-7 + x) * (-8 + x) (-7(-8 + x) + x(-8 + x)) = 0 ((-8 * -7 + x * -7) + x(-8 + x)) = 0 ((56 + -7x) + x(-8 + x)) = 0 (56 + -7x + (-8 * x + x * x)) = 0 (56 + -7x + (-8x + x2)) = 0 Combine like terms: -7x + -8x = -15x (56 + -15x + x2) = 0 Solving 56 + -15x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -1x)(8 + -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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {7, 8}
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