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Simplifying (x * x) + 12x = 988 Multiply x * x (x2) + 12x = 988 x2 + 12x = 988 Reorder the terms: 12x + x2 = 988 Solving 12x + x2 = 988 Solving for variable 'x'. Reorder the terms: -988 + 12x + x2 = 988 + -988 Combine like terms: 988 + -988 = 0 -988 + 12x + x2 = 0 Factor a trinomial. (-38 + -1x)(26 + -1x) = 0Subproblem 1
Set the factor '(-38 + -1x)' equal to zero and attempt to solve: Simplifying -38 + -1x = 0 Solving -38 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -1x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -1x = 0 + 38 -1x = 0 + 38 Combine like terms: 0 + 38 = 38 -1x = 38 Divide each side by '-1'. x = -38 Simplifying x = -38Subproblem 2
Set the factor '(26 + -1x)' equal to zero and attempt to solve: Simplifying 26 + -1x = 0 Solving 26 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -1x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -1x = 0 + -26 -1x = 0 + -26 Combine like terms: 0 + -26 = -26 -1x = -26 Divide each side by '-1'. x = 26 Simplifying x = 26Solution
x = {-38, 26}
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