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Simplifying x(x + 14) + -18(x + 14) = 0 Reorder the terms: x(14 + x) + -18(x + 14) = 0 (14 * x + x * x) + -18(x + 14) = 0 (14x + x2) + -18(x + 14) = 0 Reorder the terms: 14x + x2 + -18(14 + x) = 0 14x + x2 + (14 * -18 + x * -18) = 0 14x + x2 + (-252 + -18x) = 0 Reorder the terms: -252 + 14x + -18x + x2 = 0 Combine like terms: 14x + -18x = -4x -252 + -4x + x2 = 0 Solving -252 + -4x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-14 + -1x)(18 + -1x) = 0Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve: Simplifying -14 + -1x = 0 Solving -14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = 0 + 14 -1x = 0 + 14 Combine like terms: 0 + 14 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Solution
x = {-14, 18}
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