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Simplifying 2x(2x + -7) = -12 Reorder the terms: 2x(-7 + 2x) = -12 (-7 * 2x + 2x * 2x) = -12 (-14x + 4x2) = -12 Solving -14x + 4x2 = -12 Solving for variable 'x'. Reorder the terms: 12 + -14x + 4x2 = -12 + 12 Combine like terms: -12 + 12 = 0 12 + -14x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(6 + -7x + 2x2) = 0 Factor a trinomial. 2((3 + -2x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {1.5, 2}
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