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Simplifying 8(x3) + -6x((x2) + 64) = 0 8x3 + -6x(x2 + 64) = 0 Reorder the terms: 8x3 + -6x(64 + x2) = 0 8x3 + (64 * -6x + x2 * -6x) = 0 8x3 + (-384x + -6x3) = 0 Reorder the terms: -384x + 8x3 + -6x3 = 0 Combine like terms: 8x3 + -6x3 = 2x3 -384x + 2x3 = 0 Solving -384x + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-192 + x2) = 0 Ignore the factor 2.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 '(-192 + x2)' equal to zero and attempt to solve: Simplifying -192 + x2 = 0 Solving -192 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '192' to each side of the equation. -192 + 192 + x2 = 0 + 192 Combine like terms: -192 + 192 = 0 0 + x2 = 0 + 192 x2 = 0 + 192 Combine like terms: 0 + 192 = 192 x2 = 192 Simplifying x2 = 192 Take the square root of each side: x = {-13.856406461, 13.856406461}Solution
x = {0, -13.856406461, 13.856406461}
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