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Simplifying 8x = 3x(x + -25) Reorder the terms: 8x = 3x(-25 + x) 8x = (-25 * 3x + x * 3x) 8x = (-75x + 3x2) Solving 8x = -75x + 3x2 Solving for variable 'x'. Combine like terms: 8x + 75x = 83x 83x + -3x2 = -75x + 3x2 + 75x + -3x2 Reorder the terms: 83x + -3x2 = -75x + 75x + 3x2 + -3x2 Combine like terms: -75x + 75x = 0 83x + -3x2 = 0 + 3x2 + -3x2 83x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 83x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(83 + -3x) = 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 '(83 + -3x)' equal to zero and attempt to solve: Simplifying 83 + -3x = 0 Solving 83 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-83' to each side of the equation. 83 + -83 + -3x = 0 + -83 Combine like terms: 83 + -83 = 0 0 + -3x = 0 + -83 -3x = 0 + -83 Combine like terms: 0 + -83 = -83 -3x = -83 Divide each side by '-3'. x = 27.66666667 Simplifying x = 27.66666667Solution
x = {0, 27.66666667}
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