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Simplifying 20x3 + -64x = 0 Reorder the terms: -64x + 20x3 = 0 Solving -64x + 20x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(-16 + 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 '(-16 + 5x2)' equal to zero and attempt to solve: Simplifying -16 + 5x2 = 0 Solving -16 + 5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 5x2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 5x2 = 0 + 16 5x2 = 0 + 16 Combine like terms: 0 + 16 = 16 5x2 = 16 Divide each side by '5'. x2 = 3.2 Simplifying x2 = 3.2 Take the square root of each side: x = {-1.788854382, 1.788854382}Solution
x = {0, -1.788854382, 1.788854382}
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