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Simplifying (x + -2)(x + -5) = -2 Reorder the terms: (-2 + x)(x + -5) = -2 Reorder the terms: (-2 + x)(-5 + x) = -2 Multiply (-2 + x) * (-5 + x) (-2(-5 + x) + x(-5 + x)) = -2 ((-5 * -2 + x * -2) + x(-5 + x)) = -2 ((10 + -2x) + x(-5 + x)) = -2 (10 + -2x + (-5 * x + x * x)) = -2 (10 + -2x + (-5x + x2)) = -2 Combine like terms: -2x + -5x = -7x (10 + -7x + x2) = -2 Solving 10 + -7x + x2 = -2 Solving for variable 'x'. Reorder the terms: 10 + 2 + -7x + x2 = -2 + 2 Combine like terms: 10 + 2 = 12 12 + -7x + x2 = -2 + 2 Combine like terms: -2 + 2 = 0 12 + -7x + x2 = 0 Factor a trinomial. (3 + -1x)(4 + -1x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {3, 4}
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