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Simplifying 0 = 4x3 + -56x Reorder the terms: 0 = -56x + 4x3 Solving 0 = -56x + 4x3 Solving for variable 'x'. Remove the zero: 56x + -4x3 = -56x + 4x3 + 56x + -4x3 Reorder the terms: 56x + -4x3 = -56x + 56x + 4x3 + -4x3 Combine like terms: -56x + 56x = 0 56x + -4x3 = 0 + 4x3 + -4x3 56x + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 56x + -4x3 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(14 + -1x2) = 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 '(14 + -1x2)' equal to zero and attempt to solve: Simplifying 14 + -1x2 = 0 Solving 14 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x2 = 0 + -14 -1x2 = 0 + -14 Combine like terms: 0 + -14 = -14 -1x2 = -14 Divide each side by '-1'. x2 = 14 Simplifying x2 = 14 Take the square root of each side: x = {-3.741657387, 3.741657387}Solution
x = {0, -3.741657387, 3.741657387}
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