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Simplifying 2x2 + -10x + -72 = 4x2 + -36x Reorder the terms: -72 + -10x + 2x2 = 4x2 + -36x Reorder the terms: -72 + -10x + 2x2 = -36x + 4x2 Solving -72 + -10x + 2x2 = -36x + 4x2 Solving for variable 'x'. Reorder the terms: -72 + -10x + 36x + 2x2 + -4x2 = -36x + 4x2 + 36x + -4x2 Combine like terms: -10x + 36x = 26x -72 + 26x + 2x2 + -4x2 = -36x + 4x2 + 36x + -4x2 Combine like terms: 2x2 + -4x2 = -2x2 -72 + 26x + -2x2 = -36x + 4x2 + 36x + -4x2 Reorder the terms: -72 + 26x + -2x2 = -36x + 36x + 4x2 + -4x2 Combine like terms: -36x + 36x = 0 -72 + 26x + -2x2 = 0 + 4x2 + -4x2 -72 + 26x + -2x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -72 + 26x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-36 + 13x + -1x2) = 0 Factor a trinomial. 2((-9 + x)(4 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 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 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {9, 4}
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