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Simplifying 5x2 + -40x2 + 75x = 0 Reorder the terms: 75x + 5x2 + -40x2 = 0 Combine like terms: 5x2 + -40x2 = -35x2 75x + -35x2 = 0 Solving 75x + -35x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(15 + -7x) = 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 '(15 + -7x)' equal to zero and attempt to solve: Simplifying 15 + -7x = 0 Solving 15 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -7x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = 0 + -15 -7x = 0 + -15 Combine like terms: 0 + -15 = -15 -7x = -15 Divide each side by '-7'. x = 2.142857143 Simplifying x = 2.142857143Solution
x = {0, 2.142857143}
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