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Simplifying 8 * 81x + 9 * 64x = 17 * 8x * 9x Multiply 8 * 81 648x + 9 * 64x = 17 * 8x * 9x Multiply 9 * 64 648x + 576x = 17 * 8x * 9x Combine like terms: 648x + 576x = 1224x 1224x = 17 * 8x * 9x Reorder the terms for easier multiplication: 1224x = 17 * 8 * 9x * x Multiply 17 * 8 1224x = 136 * 9x * x Multiply 136 * 9 1224x = 1224x * x Multiply x * x 1224x = 1224x2 Solving 1224x = 1224x2 Solving for variable 'x'. Combine like terms: 1224x2 + -1224x2 = 0 1224x + -1224x2 = 0 Factor out the Greatest Common Factor (GCF), '1224x'. 1224x(1 + -1x) = 0 Ignore the factor 1224.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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0, 1}
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