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Simplifying 0 = 4x2 + 10x + -36 Reorder the terms: 0 = -36 + 10x + 4x2 Solving 0 = -36 + 10x + 4x2 Solving for variable 'x'. Combine like terms: 0 + 36 = 36 36 + -10x + -4x2 = -36 + 10x + 4x2 + 36 + -10x + -4x2 Reorder the terms: 36 + -10x + -4x2 = -36 + 36 + 10x + -10x + 4x2 + -4x2 Combine like terms: -36 + 36 = 0 36 + -10x + -4x2 = 0 + 10x + -10x + 4x2 + -4x2 36 + -10x + -4x2 = 10x + -10x + 4x2 + -4x2 Combine like terms: 10x + -10x = 0 36 + -10x + -4x2 = 0 + 4x2 + -4x2 36 + -10x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 36 + -10x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(18 + -5x + -2x2) = 0 Factor a trinomial. 2((2 + -1x)(9 + 2x)) = 0 Ignore the factor 2.Subproblem 1
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 = 2Subproblem 2
Set the factor '(9 + 2x)' equal to zero and attempt to solve: Simplifying 9 + 2x = 0 Solving 9 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5Solution
x = {2, -4.5}
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