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Simplifying 512x2 + 1152x + 648 = 0 Reorder the terms: 648 + 1152x + 512x2 = 0 Solving 648 + 1152x + 512x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(81 + 144x + 64x2) = 0 Factor a trinomial. 8((9 + 8x)(9 + 8x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(9 + 8x)' equal to zero and attempt to solve: Simplifying 9 + 8x = 0 Solving 9 + 8x = 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 + 8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 0 + -9 8x = 0 + -9 Combine like terms: 0 + -9 = -9 8x = -9 Divide each side by '8'. x = -1.125 Simplifying x = -1.125Subproblem 2
Set the factor '(9 + 8x)' equal to zero and attempt to solve: Simplifying 9 + 8x = 0 Solving 9 + 8x = 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 + 8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 0 + -9 8x = 0 + -9 Combine like terms: 0 + -9 = -9 8x = -9 Divide each side by '8'. x = -1.125 Simplifying x = -1.125Solution
x = {-1.125, -1.125}
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