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Simplifying 20x3 + -36x = 0 Reorder the terms: -36x + 20x3 = 0 Solving -36x + 20x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(-9 + 5x2) = 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 + 5x2)' equal to zero and attempt to solve: Simplifying -9 + 5x2 = 0 Solving -9 + 5x2 = 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 + 5x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5x2 = 0 + 9 5x2 = 0 + 9 Combine like terms: 0 + 9 = 9 5x2 = 9 Divide each side by '5'. x2 = 1.8 Simplifying x2 = 1.8 Take the square root of each side: x = {-1.341640787, 1.341640787}Solution
x = {0, -1.341640787, 1.341640787}
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