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Simplifying 3x + 8x * 9x + (652x + -10000x) = 0 Reorder the terms for easier multiplication: 3x + 8 * 9x * x + (652x + -10000x) = 0 Multiply 8 * 9 3x + 72x * x + (652x + -10000x) = 0 Multiply x * x 3x + 72x2 + (652x + -10000x) = 0 Combine like terms: 652x + -10000x = -9348x 3x + 72x2 + (-9348x) = 0 3x + 72x2 + (-9348x) = 0 Reorder the terms: 3x + (-9348x) + 72x2 = 0 Combine like terms: 3x + (-9348x) = -9345x -9345x + 72x2 = 0 Solving -9345x + 72x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-3115 + 24x) = 0 Ignore the factor 3.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 '(-3115 + 24x)' equal to zero and attempt to solve: Simplifying -3115 + 24x = 0 Solving -3115 + 24x = 0 Move all terms containing x to the left, all other terms to the right. Add '3115' to each side of the equation. -3115 + 3115 + 24x = 0 + 3115 Combine like terms: -3115 + 3115 = 0 0 + 24x = 0 + 3115 24x = 0 + 3115 Combine like terms: 0 + 3115 = 3115 24x = 3115 Divide each side by '24'. x = 129.7916667 Simplifying x = 129.7916667Solution
x = {0, 129.7916667}
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