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Simplifying 0 = x3 + -15x Reorder the terms: 0 = -15x + x3 Solving 0 = -15x + x3 Solving for variable 'x'. Remove the zero: 15x + -1x3 = -15x + x3 + 15x + -1x3 Reorder the terms: 15x + -1x3 = -15x + 15x + x3 + -1x3 Combine like terms: -15x + 15x = 0 15x + -1x3 = 0 + x3 + -1x3 15x + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 15x + -1x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(15 + -1x2) = 0Subproblem 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 + -1x2)' equal to zero and attempt to solve: Simplifying 15 + -1x2 = 0 Solving 15 + -1x2 = 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 + -1x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x2 = 0 + -15 -1x2 = 0 + -15 Combine like terms: 0 + -15 = -15 -1x2 = -15 Divide each side by '-1'. x2 = 15 Simplifying x2 = 15 Take the square root of each side: x = {-3.872983346, 3.872983346}Solution
x = {0, -3.872983346, 3.872983346}
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