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Simplifying -4x2 + 36 = -18x Reorder the terms: 36 + -4x2 = -18x Solving 36 + -4x2 = -18x Solving for variable 'x'. Reorder the terms: 36 + 18x + -4x2 = -18x + 18x Combine like terms: -18x + 18x = 0 36 + 18x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(18 + 9x + -2x2) = 0 Factor a trinomial. 2((6 + -1x)(3 + 2x)) = 0 Ignore the factor 2.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 '(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 = -1.5Solution
x = {6, -1.5}
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