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Simplifying -5x3 + 4x2 + -80x = 0 Reorder the terms: -80x + 4x2 + -5x3 = 0 Solving -80x + 4x2 + -5x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-80 + 4x + -5x2) = 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 '(-80 + 4x + -5x2)' equal to zero and attempt to solve: Simplifying -80 + 4x + -5x2 = 0 Solving -80 + 4x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 16 + -0.8x + x2 = 0 Move the constant term to the right: Add '-16' to each side of the equation. 16 + -0.8x + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + -0.8x + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -0.8x + x2 = 0 + -16 -0.8x + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 -0.8x + x2 = -16 The x term is -0.8x. Take half its coefficient (-0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. -0.8x + 0.16 + x2 = -16 + 0.16 Reorder the terms: 0.16 + -0.8x + x2 = -16 + 0.16 Combine like terms: -16 + 0.16 = -15.84 0.16 + -0.8x + x2 = -15.84 Factor a perfect square on the left side: (x + -0.4)(x + -0.4) = -15.84 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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