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Simplifying 36x3 + -8x = 0 Reorder the terms: -8x + 36x3 = 0 Solving -8x + 36x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(-2 + 9x2) = 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 '(-2 + 9x2)' equal to zero and attempt to solve: Simplifying -2 + 9x2 = 0 Solving -2 + 9x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 9x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 9x2 = 0 + 2 9x2 = 0 + 2 Combine like terms: 0 + 2 = 2 9x2 = 2 Divide each side by '9'. x2 = 0.2222222222 Simplifying x2 = 0.2222222222 Take the square root of each side: x = {-0.471404521, 0.471404521}Solution
x = {0, -0.471404521, 0.471404521}
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