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Simplifying 15x = 8x2 + -14x Reorder the terms: 15x = -14x + 8x2 Solving 15x = -14x + 8x2 Solving for variable 'x'. Combine like terms: 15x + 14x = 29x 29x + -8x2 = -14x + 8x2 + 14x + -8x2 Reorder the terms: 29x + -8x2 = -14x + 14x + 8x2 + -8x2 Combine like terms: -14x + 14x = 0 29x + -8x2 = 0 + 8x2 + -8x2 29x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 29x + -8x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(29 + -8x) = 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 '(29 + -8x)' equal to zero and attempt to solve: Simplifying 29 + -8x = 0 Solving 29 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -8x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -8x = 0 + -29 -8x = 0 + -29 Combine like terms: 0 + -29 = -29 -8x = -29 Divide each side by '-8'. x = 3.625 Simplifying x = 3.625Solution
x = {0, 3.625}
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