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Simplifying 32x3 = 40x Solving 32x3 = 40x Solving for variable 'x'. Reorder the terms: -40x + 32x3 = 40x + -40x Combine like terms: 40x + -40x = 0 -40x + 32x3 = 0 Factor out the Greatest Common Factor (GCF), '8x'. 8x(-5 + 4x2) = 0 Ignore the factor 8.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 '(-5 + 4x2)' equal to zero and attempt to solve: Simplifying -5 + 4x2 = 0 Solving -5 + 4x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4x2 = 0 + 5 4x2 = 0 + 5 Combine like terms: 0 + 5 = 5 4x2 = 5 Divide each side by '4'. x2 = 1.25 Simplifying x2 = 1.25 Take the square root of each side: x = {-1.118033989, 1.118033989}Solution
x = {0, -1.118033989, 1.118033989}
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