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Simplifying x(x + 5) = 84x2 Reorder the terms: x(5 + x) = 84x2 (5 * x + x * x) = 84x2 (5x + x2) = 84x2 Solving 5x + x2 = 84x2 Solving for variable 'x'. Combine like terms: x2 + -84x2 = -83x2 5x + -83x2 = 84x2 + -84x2 Combine like terms: 84x2 + -84x2 = 0 5x + -83x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(5 + -83x) = 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 '(5 + -83x)' equal to zero and attempt to solve: Simplifying 5 + -83x = 0 Solving 5 + -83x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -83x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -83x = 0 + -5 -83x = 0 + -5 Combine like terms: 0 + -5 = -5 -83x = -5 Divide each side by '-83'. x = 0.06024096386 Simplifying x = 0.06024096386Solution
x = {0, 0.06024096386}
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