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Simplifying (x + -4)(x + -6) = 4x Reorder the terms: (-4 + x)(x + -6) = 4x Reorder the terms: (-4 + x)(-6 + x) = 4x Multiply (-4 + x) * (-6 + x) (-4(-6 + x) + x(-6 + x)) = 4x ((-6 * -4 + x * -4) + x(-6 + x)) = 4x ((24 + -4x) + x(-6 + x)) = 4x (24 + -4x + (-6 * x + x * x)) = 4x (24 + -4x + (-6x + x2)) = 4x Combine like terms: -4x + -6x = -10x (24 + -10x + x2) = 4x Solving 24 + -10x + x2 = 4x Solving for variable 'x'. Reorder the terms: 24 + -10x + -4x + x2 = 4x + -4x Combine like terms: -10x + -4x = -14x 24 + -14x + x2 = 4x + -4x Combine like terms: 4x + -4x = 0 24 + -14x + x2 = 0 Factor a trinomial. (2 + -1x)(12 + -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 '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {2, 12}
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