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Simplifying 30 = 4x2 + -2x Reorder the terms: 30 = -2x + 4x2 Solving 30 = -2x + 4x2 Solving for variable 'x'. Reorder the terms: 30 + 2x + -4x2 = -2x + 2x + 4x2 + -4x2 Combine like terms: -2x + 2x = 0 30 + 2x + -4x2 = 0 + 4x2 + -4x2 30 + 2x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 30 + 2x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(15 + x + -2x2) = 0 Factor a trinomial. 2((3 + -1x)(5 + 2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Solution
x = {3, -2.5}
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