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Simplifying x(x + 7) + -12(x + 7) = 0 Reorder the terms: x(7 + x) + -12(x + 7) = 0 (7 * x + x * x) + -12(x + 7) = 0 (7x + x2) + -12(x + 7) = 0 Reorder the terms: 7x + x2 + -12(7 + x) = 0 7x + x2 + (7 * -12 + x * -12) = 0 7x + x2 + (-84 + -12x) = 0 Reorder the terms: -84 + 7x + -12x + x2 = 0 Combine like terms: 7x + -12x = -5x -84 + -5x + x2 = 0 Solving -84 + -5x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -1x)(12 + -1x) = 0Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 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 = {-7, 12}
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