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Simplifying x2 = 4x2 + -36x + 81 Reorder the terms: x2 = 81 + -36x + 4x2 Solving x2 = 81 + -36x + 4x2 Solving for variable 'x'. Reorder the terms: -81 + 36x + x2 + -4x2 = 81 + -36x + 4x2 + -81 + 36x + -4x2 Combine like terms: x2 + -4x2 = -3x2 -81 + 36x + -3x2 = 81 + -36x + 4x2 + -81 + 36x + -4x2 Reorder the terms: -81 + 36x + -3x2 = 81 + -81 + -36x + 36x + 4x2 + -4x2 Combine like terms: 81 + -81 = 0 -81 + 36x + -3x2 = 0 + -36x + 36x + 4x2 + -4x2 -81 + 36x + -3x2 = -36x + 36x + 4x2 + -4x2 Combine like terms: -36x + 36x = 0 -81 + 36x + -3x2 = 0 + 4x2 + -4x2 -81 + 36x + -3x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -81 + 36x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-27 + 12x + -1x2) = 0 Factor a trinomial. 3((-9 + x)(3 + -1x)) = 0 Ignore the factor 3.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 '(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 = 3Solution
x = {9, 3}
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