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Simplifying 9x(x + -8) = 14x2 + -73x Reorder the terms: 9x(-8 + x) = 14x2 + -73x (-8 * 9x + x * 9x) = 14x2 + -73x (-72x + 9x2) = 14x2 + -73x Reorder the terms: -72x + 9x2 = -73x + 14x2 Solving -72x + 9x2 = -73x + 14x2 Solving for variable 'x'. Reorder the terms: -72x + 73x + 9x2 + -14x2 = -73x + 14x2 + 73x + -14x2 Combine like terms: -72x + 73x = 1x 1x + 9x2 + -14x2 = -73x + 14x2 + 73x + -14x2 Combine like terms: 9x2 + -14x2 = -5x2 1x + -5x2 = -73x + 14x2 + 73x + -14x2 Reorder the terms: 1x + -5x2 = -73x + 73x + 14x2 + -14x2 Combine like terms: -73x + 73x = 0 1x + -5x2 = 0 + 14x2 + -14x2 1x + -5x2 = 14x2 + -14x2 Combine like terms: 14x2 + -14x2 = 0 1x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -5x) = 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 '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {0, 0.2}
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