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Simplifying 5(9x2 + -36x + 36) = 0 Reorder the terms: 5(36 + -36x + 9x2) = 0 (36 * 5 + -36x * 5 + 9x2 * 5) = 0 (180 + -180x + 45x2) = 0 Solving 180 + -180x + 45x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '45'. 45(4 + -4x + x2) = 0 Factor a trinomial. 45((2 + -1x)(2 + -1x)) = 0 Ignore the factor 45.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 '(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 = 2Solution
x = {2, 2}
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