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Simplifying 5x(x2 + -8) = 0 Reorder the terms: 5x(-8 + x2) = 0 (-8 * 5x + x2 * 5x) = 0 (-40x + 5x3) = 0 Solving -40x + 5x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(-8 + x2) = 0 Ignore the factor 5.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 '(-8 + x2)' equal to zero and attempt to solve: Simplifying -8 + x2 = 0 Solving -8 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x2 = 0 + 8 x2 = 0 + 8 Combine like terms: 0 + 8 = 8 x2 = 8 Simplifying x2 = 8 Take the square root of each side: x = {-2.828427125, 2.828427125}Solution
x = {0, -2.828427125, 2.828427125}
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