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Simplifying 20x3 + -25x2 + 8x = 0 Reorder the terms: 8x + -25x2 + 20x3 = 0 Solving 8x + -25x2 + 20x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(8 + -25x + 20x2) = 0Subproblem 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 '(8 + -25x + 20x2)' equal to zero and attempt to solve: Simplifying 8 + -25x + 20x2 = 0 Solving 8 + -25x + 20x2 = 0 Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 0.4 + -1.25x + x2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + -1.25x + -0.4 + x2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + -1.25x + x2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -1.25x + x2 = 0 + -0.4 -1.25x + x2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 -1.25x + x2 = -0.4 The x term is -1.25x. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25x + 0.390625 + x2 = -0.4 + 0.390625 Reorder the terms: 0.390625 + -1.25x + x2 = -0.4 + 0.390625 Combine like terms: -0.4 + 0.390625 = -0.009375 0.390625 + -1.25x + x2 = -0.009375 Factor a perfect square on the left side: (x + -0.625)(x + -0.625) = -0.009375 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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