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Simplifying x(x + -6) + -4(x + -4) = 0 Reorder the terms: x(-6 + x) + -4(x + -4) = 0 (-6 * x + x * x) + -4(x + -4) = 0 (-6x + x2) + -4(x + -4) = 0 Reorder the terms: -6x + x2 + -4(-4 + x) = 0 -6x + x2 + (-4 * -4 + x * -4) = 0 -6x + x2 + (16 + -4x) = 0 Reorder the terms: 16 + -6x + -4x + x2 = 0 Combine like terms: -6x + -4x = -10x 16 + -10x + x2 = 0 Solving 16 + -10x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -1x)(8 + -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 '(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 = {2, 8}
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