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Simplifying -2x3(8x3 + -5x2 + 4x) = 0 Reorder the terms: -2x3(4x + -5x2 + 8x3) = 0 (4x * -2x3 + -5x2 * -2x3 + 8x3 * -2x3) = 0 (-8x4 + 10x5 + -16x6) = 0 Solving -8x4 + 10x5 + -16x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x4'. 2x4(-4 + 5x + -8x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-4 + 5x + -8x2)' equal to zero and attempt to solve: Simplifying -4 + 5x + -8x2 = 0 Solving -4 + 5x + -8x2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 0.5 + -0.625x + x2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -0.625x + -0.5 + x2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -0.625x + x2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.625x + x2 = 0 + -0.5 -0.625x + x2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -0.625x + x2 = -0.5 The x term is -0.625x. Take half its coefficient (-0.3125). Square it (0.09765625) and add it to both sides. Add '0.09765625' to each side of the equation. -0.625x + 0.09765625 + x2 = -0.5 + 0.09765625 Reorder the terms: 0.09765625 + -0.625x + x2 = -0.5 + 0.09765625 Combine like terms: -0.5 + 0.09765625 = -0.40234375 0.09765625 + -0.625x + x2 = -0.40234375 Factor a perfect square on the left side: (x + -0.3125)(x + -0.3125) = -0.40234375 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. The solution to this equation could not be determined.
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