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Simplifying -14x2 + 118x3 + 72x2 = 0 Reorder the terms: -14x2 + 72x2 + 118x3 = 0 Combine like terms: -14x2 + 72x2 = 58x2 58x2 + 118x3 = 0 Solving 58x2 + 118x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(29 + 59x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(29 + 59x)' equal to zero and attempt to solve: Simplifying 29 + 59x = 0 Solving 29 + 59x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 59x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 59x = 0 + -29 59x = 0 + -29 Combine like terms: 0 + -29 = -29 59x = -29 Divide each side by '59'. x = -0.4915254237 Simplifying x = -0.4915254237Solution
x = {0, -0.4915254237}
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