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Simplifying 0 = x(x2 + -5) Reorder the terms: 0 = x(-5 + x2) 0 = (-5 * x + x2 * x) 0 = (-5x + x3) Solving 0 = -5x + x3 Solving for variable 'x'. Remove the zero: 5x + -1x3 = -5x + x3 + 5x + -1x3 Reorder the terms: 5x + -1x3 = -5x + 5x + x3 + -1x3 Combine like terms: -5x + 5x = 0 5x + -1x3 = 0 + x3 + -1x3 5x + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 5x + -1x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(5 + -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 '(5 + -1x2)' equal to zero and attempt to solve: Simplifying 5 + -1x2 = 0 Solving 5 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x2 = 0 + -5 -1x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1x2 = -5 Divide each side by '-1'. x2 = 5 Simplifying x2 = 5 Take the square root of each side: x = {-2.236067978, 2.236067978}Solution
x = {0, -2.236067978, 2.236067978}
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