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Simplifying (x + -2)(x + -10) = -16 Reorder the terms: (-2 + x)(x + -10) = -16 Reorder the terms: (-2 + x)(-10 + x) = -16 Multiply (-2 + x) * (-10 + x) (-2(-10 + x) + x(-10 + x)) = -16 ((-10 * -2 + x * -2) + x(-10 + x)) = -16 ((20 + -2x) + x(-10 + x)) = -16 (20 + -2x + (-10 * x + x * x)) = -16 (20 + -2x + (-10x + x2)) = -16 Combine like terms: -2x + -10x = -12x (20 + -12x + x2) = -16 Solving 20 + -12x + x2 = -16 Solving for variable 'x'. Reorder the terms: 20 + 16 + -12x + x2 = -16 + 16 Combine like terms: 20 + 16 = 36 36 + -12x + x2 = -16 + 16 Combine like terms: -16 + 16 = 0 36 + -12x + x2 = 0 Factor a trinomial. (6 + -1x)(6 + -1x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {6, 6}
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