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Simplifying 140x3 + -72x = 0 Reorder the terms: -72x + 140x3 = 0 Solving -72x + 140x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(-18 + 35x2) = 0 Ignore the factor 4.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 '(-18 + 35x2)' equal to zero and attempt to solve: Simplifying -18 + 35x2 = 0 Solving -18 + 35x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 35x2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 35x2 = 0 + 18 35x2 = 0 + 18 Combine like terms: 0 + 18 = 18 35x2 = 18 Divide each side by '35'. x2 = 0.5142857143 Simplifying x2 = 0.5142857143 Take the square root of each side: x = {-0.717137166, 0.717137166}Solution
x = {0, -0.717137166, 0.717137166}
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