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Simplifying 0 = -4x3 + 18x Reorder the terms: 0 = 18x + -4x3 Solving 0 = 18x + -4x3 Solving for variable 'x'. Remove the zero: -18x + 4x3 = 18x + -4x3 + -18x + 4x3 Reorder the terms: -18x + 4x3 = 18x + -18x + -4x3 + 4x3 Combine like terms: 18x + -18x = 0 -18x + 4x3 = 0 + -4x3 + 4x3 -18x + 4x3 = -4x3 + 4x3 Combine like terms: -4x3 + 4x3 = 0 -18x + 4x3 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-9 + 2x2) = 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 '(-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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