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Simplifying x(4x2 + -18) = 0 Reorder the terms: x(-18 + 4x2) = 0 (-18 * x + 4x2 * x) = 0 (-18x + 4x3) = 0 Solving -18x + 4x3 = 0 Solving for variable 'x'. 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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