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Simplifying -1x6 + 2x5 + -7x4 = 0 Reorder the terms: -7x4 + 2x5 + -1x6 = 0 Solving -7x4 + 2x5 + -1x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x4'. x4(-7 + 2x + -1x2) = 0Subproblem 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 '(-7 + 2x + -1x2)' equal to zero and attempt to solve: Simplifying -7 + 2x + -1x2 = 0 Solving -7 + 2x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 7 + -2x + x2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + -2x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + -2x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x + x2 = 0 + -7 -2x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -2x + x2 = -7 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -7 + 1 Reorder the terms: 1 + -2x + x2 = -7 + 1 Combine like terms: -7 + 1 = -6 1 + -2x + x2 = -6 Factor a perfect square on the left side: (x + -1)(x + -1) = -6 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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