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Simplifying x + -9(7x + 6x(-4x + -4)) = 0 Reorder the terms: x + -9(7x + 6x(-4 + -4x)) = 0 x + -9(7x + (-4 * 6x + -4x * 6x)) = 0 x + -9(7x + (-24x + -24x2)) = 0 Combine like terms: 7x + -24x = -17x x + -9(-17x + -24x2) = 0 x + (-17x * -9 + -24x2 * -9) = 0 x + (153x + 216x2) = 0 Combine like terms: x + 153x = 154x 154x + 216x2 = 0 Solving 154x + 216x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(77 + 108x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(77 + 108x)' equal to zero and attempt to solve: Simplifying 77 + 108x = 0 Solving 77 + 108x = 0 Move all terms containing x to the left, all other terms to the right. Add '-77' to each side of the equation. 77 + -77 + 108x = 0 + -77 Combine like terms: 77 + -77 = 0 0 + 108x = 0 + -77 108x = 0 + -77 Combine like terms: 0 + -77 = -77 108x = -77 Divide each side by '108'. x = -0.712962963 Simplifying x = -0.712962963Solution
x = {0, -0.712962963}
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