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Simplifying 180 = 3x(x + 4) Reorder the terms: 180 = 3x(4 + x) 180 = (4 * 3x + x * 3x) 180 = (12x + 3x2) Solving 180 = 12x + 3x2 Solving for variable 'x'. Reorder the terms: 180 + -12x + -3x2 = 12x + -12x + 3x2 + -3x2 Combine like terms: 12x + -12x = 0 180 + -12x + -3x2 = 0 + 3x2 + -3x2 180 + -12x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 180 + -12x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(60 + -4x + -1x2) = 0 Factor a trinomial. 3((6 + -1x)(10 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Solution
x = {6, -10}
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