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Simplifying 3x2 = 21x + 132 Reorder the terms: 3x2 = 132 + 21x Solving 3x2 = 132 + 21x Solving for variable 'x'. Reorder the terms: -132 + -21x + 3x2 = 132 + 21x + -132 + -21x Reorder the terms: -132 + -21x + 3x2 = 132 + -132 + 21x + -21x Combine like terms: 132 + -132 = 0 -132 + -21x + 3x2 = 0 + 21x + -21x -132 + -21x + 3x2 = 21x + -21x Combine like terms: 21x + -21x = 0 -132 + -21x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-44 + -7x + x2) = 0 Factor a trinomial. 3((-4 + -1x)(11 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 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 = {-4, 11}
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