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Simplifying 48x + (72x2) = 64x Solving 48x + (72x2) = 64x Solving for variable 'x'. Reorder the terms: 48x + -64x + (72x2) = 64x + -64x Combine like terms: 48x + -64x = -16x -16x + (72x2) = 64x + -64x Combine like terms: 64x + -64x = 0 -16x + (72x2) = 0 Factor out the Greatest Common Factor (GCF), '8x'. 8x(-2 + (9x)) = 0 Ignore the factor 8.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 '(-2 + (9x))' equal to zero and attempt to solve: Simplifying -2 + (9x) = 0 Solving -2 + (9x) = 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 + (9x) = 0 + 2 Combine like terms: -2 + 2 = 0 0 + (9x) = 0 + 2 (9x) = 0 + 2 Combine like terms: 0 + 2 = 2 (9x) = 2 Divide each side by '9'. x = 0.2222222222 Simplifying x = 0.2222222222Solution
x = {0, 0.2222222222}
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