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Simplifying 180 = 4x2 + 6x Reorder the terms: 180 = 6x + 4x2 Solving 180 = 6x + 4x2 Solving for variable 'x'. Reorder the terms: 180 + -6x + -4x2 = 6x + -6x + 4x2 + -4x2 Combine like terms: 6x + -6x = 0 180 + -6x + -4x2 = 0 + 4x2 + -4x2 180 + -6x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 180 + -6x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(90 + -3x + -2x2) = 0 Factor a trinomial. 2((6 + -1x)(15 + 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 '(15 + 2x)' equal to zero and attempt to solve: Simplifying 15 + 2x = 0 Solving 15 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 2x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 0 + -15 2x = 0 + -15 Combine like terms: 0 + -15 = -15 2x = -15 Divide each side by '2'. x = -7.5 Simplifying x = -7.5Solution
x = {6, -7.5}
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