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Simplifying 0 = 8x3 + -36x Reorder the terms: 0 = -36x + 8x3 Solving 0 = -36x + 8x3 Solving for variable 'x'. Remove the zero: 36x + -8x3 = -36x + 8x3 + 36x + -8x3 Reorder the terms: 36x + -8x3 = -36x + 36x + 8x3 + -8x3 Combine like terms: -36x + 36x = 0 36x + -8x3 = 0 + 8x3 + -8x3 36x + -8x3 = 8x3 + -8x3 Combine like terms: 8x3 + -8x3 = 0 36x + -8x3 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(9 + -2x2) = 0 Ignore the factor 4.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 '(9 + -2x2)' equal to zero and attempt to solve: Simplifying 9 + -2x2 = 0 Solving 9 + -2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x2 = 0 + -9 -2x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -2x2 = -9 Divide each side by '-2'. x2 = 4.5 Simplifying x2 = 4.5 Take the square root of each side: x = {-2.121320344, 2.121320344}Solution
x = {0, -2.121320344, 2.121320344}
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