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Simplifying -2x4(x3 + -1x2 + 2x) = 0 Reorder the terms: -2x4(2x + -1x2 + x3) = 0 (2x * -2x4 + -1x2 * -2x4 + x3 * -2x4) = 0 (-4x5 + 2x6 + -2x7) = 0 Solving -4x5 + 2x6 + -2x7 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x5'. 2x5(-2 + x + -1x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x5' equal to zero and attempt to solve: Simplifying x5 = 0 Solving x5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5 = 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 '(-2 + x + -1x2)' equal to zero and attempt to solve: Simplifying -2 + x + -1x2 = 0 Solving -2 + x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 2 + -1x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -1x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -1x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x + x2 = 0 + -2 -1x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1x + x2 = -2 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -2 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -2 + 0.25 Combine like terms: -2 + 0.25 = -1.75 0.25 + -1x + x2 = -1.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -1.75 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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