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Simplifying -2x3 + 2xq4 = 0 Reorder the terms: 2q4x + -2x3 = 0 Solving 2q4x + -2x3 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2x3' to each side of the equation. 2q4x + -2x3 + 2x3 = 0 + 2x3 Combine like terms: -2x3 + 2x3 = 0 2q4x + 0 = 0 + 2x3 2q4x = 0 + 2x3 Remove the zero: 2q4x = 2x3 Divide each side by '2x'. q4 = x2 Simplifying q4 = x2 Combine like terms: x2 + -1x2 = 0 q4 + -1x2 = 0 Factor a difference between two squares. (q2 + x)(q2 + -1x) = 0Subproblem 1
Set the factor '(q2 + x)' equal to zero and attempt to solve: Simplifying q2 + x = 0 Solving q2 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '-1x' to each side of the equation. q2 + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 q2 + 0 = 0 + -1x q2 = 0 + -1x Remove the zero: q2 = -1x Simplifying q2 = -1x 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 '(q2 + -1x)' equal to zero and attempt to solve: Simplifying q2 + -1x = 0 Solving q2 + -1x = 0 Move all terms containing q to the left, all other terms to the right. Add 'x' to each side of the equation. q2 + -1x + x = 0 + x Combine like terms: -1x + x = 0 q2 + 0 = 0 + x q2 = 0 + x Remove the zero: q2 = x Simplifying q2 = x 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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