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Simplifying 0 = 5x + -1x3 Solving 0 = 5x + -1x3 Solving for variable 'x'. Remove the zero: -5x + x3 = 5x + -1x3 + -5x + x3 Reorder the terms: -5x + x3 = 5x + -5x + -1x3 + x3 Combine like terms: 5x + -5x = 0 -5x + x3 = 0 + -1x3 + x3 -5x + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 -5x + x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + x2) = 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 + x2)' equal to zero and attempt to solve: Simplifying -5 + x2 = 0 Solving -5 + x2 = 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 + x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x2 = 0 + 5 x2 = 0 + 5 Combine like terms: 0 + 5 = 5 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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