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Simplifying (x + -2)(x + -7) = 0 Reorder the terms: (-2 + x)(x + -7) = 0 Reorder the terms: (-2 + x)(-7 + x) = 0 Multiply (-2 + x) * (-7 + x) (-2(-7 + x) + x(-7 + x)) = 0 ((-7 * -2 + x * -2) + x(-7 + x)) = 0 ((14 + -2x) + x(-7 + x)) = 0 (14 + -2x + (-7 * x + x * x)) = 0 (14 + -2x + (-7x + x2)) = 0 Combine like terms: -2x + -7x = -9x (14 + -9x + x2) = 0 Solving 14 + -9x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -1x)(7 + -1x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
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 = 7Solution
x = {2, 7}
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