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Simplifying (x + -6)(x + -10) = -4 Reorder the terms: (-6 + x)(x + -10) = -4 Reorder the terms: (-6 + x)(-10 + x) = -4 Multiply (-6 + x) * (-10 + x) (-6(-10 + x) + x(-10 + x)) = -4 ((-10 * -6 + x * -6) + x(-10 + x)) = -4 ((60 + -6x) + x(-10 + x)) = -4 (60 + -6x + (-10 * x + x * x)) = -4 (60 + -6x + (-10x + x2)) = -4 Combine like terms: -6x + -10x = -16x (60 + -16x + x2) = -4 Solving 60 + -16x + x2 = -4 Solving for variable 'x'. Reorder the terms: 60 + 4 + -16x + x2 = -4 + 4 Combine like terms: 60 + 4 = 64 64 + -16x + x2 = -4 + 4 Combine like terms: -4 + 4 = 0 64 + -16x + x2 = 0 Factor a trinomial. (8 + -1x)(8 + -1x) = 0Subproblem 1
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 = 8Subproblem 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 = {8, 8}
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