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Simplifying 9x(8x + 7) + -2x = 0 Reorder the terms: 9x(7 + 8x) + -2x = 0 (7 * 9x + 8x * 9x) + -2x = 0 (63x + 72x2) + -2x = 0 Reorder the terms: 63x + -2x + 72x2 = 0 Combine like terms: 63x + -2x = 61x 61x + 72x2 = 0 Solving 61x + 72x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(61 + 72x) = 0Subproblem 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 '(61 + 72x)' equal to zero and attempt to solve: Simplifying 61 + 72x = 0 Solving 61 + 72x = 0 Move all terms containing x to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + 72x = 0 + -61 Combine like terms: 61 + -61 = 0 0 + 72x = 0 + -61 72x = 0 + -61 Combine like terms: 0 + -61 = -61 72x = -61 Divide each side by '72'. x = -0.8472222222 Simplifying x = -0.8472222222Solution
x = {0, -0.8472222222}
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