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Simplifying 2x2 + -16x2 + 40x = 0 Reorder the terms: 40x + 2x2 + -16x2 = 0 Combine like terms: 2x2 + -16x2 = -14x2 40x + -14x2 = 0 Solving 40x + -14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(20 + -7x) = 0 Ignore the factor 2.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 '(20 + -7x)' equal to zero and attempt to solve: Simplifying 20 + -7x = 0 Solving 20 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -7x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -7x = 0 + -20 -7x = 0 + -20 Combine like terms: 0 + -20 = -20 -7x = -20 Divide each side by '-7'. x = 2.857142857 Simplifying x = 2.857142857Solution
x = {0, 2.857142857}
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