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Simplifying 3x2 + -12x = 231 Reorder the terms: -12x + 3x2 = 231 Solving -12x + 3x2 = 231 Solving for variable 'x'. Reorder the terms: -231 + -12x + 3x2 = 231 + -231 Combine like terms: 231 + -231 = 0 -231 + -12x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-77 + -4x + x2) = 0 Factor a trinomial. 3((-7 + -1x)(11 + -1x)) = 0 Ignore the factor 3.Subproblem 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 '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {-7, 11}
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