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Simplifying -75x2 + 290x = 0 Reorder the terms: 290x + -75x2 = 0 Solving 290x + -75x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(58 + -15x) = 0 Ignore the factor 5.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 '(58 + -15x)' equal to zero and attempt to solve: Simplifying 58 + -15x = 0 Solving 58 + -15x = 0 Move all terms containing x to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + -15x = 0 + -58 Combine like terms: 58 + -58 = 0 0 + -15x = 0 + -58 -15x = 0 + -58 Combine like terms: 0 + -58 = -58 -15x = -58 Divide each side by '-15'. x = 3.866666667 Simplifying x = 3.866666667Solution
x = {0, 3.866666667}
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