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Simplifying 5w4 + -8w2x + -4x2 = 0 Reorder the terms: -8w2x + 5w4 + -4x2 = 0 Solving -8w2x + 5w4 + -4x2 = 0 Solving for variable 'w'. Factor a trinomial. (w2 + -2x)(5w2 + 2x) = 0Subproblem 1
Set the factor '(w2 + -2x)' equal to zero and attempt to solve: Simplifying w2 + -2x = 0 Solving w2 + -2x = 0 Move all terms containing w to the left, all other terms to the right. Add '2x' to each side of the equation. w2 + -2x + 2x = 0 + 2x Combine like terms: -2x + 2x = 0 w2 + 0 = 0 + 2x w2 = 0 + 2x Remove the zero: w2 = 2x Simplifying w2 = 2x 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 '(5w2 + 2x)' equal to zero and attempt to solve: Simplifying 5w2 + 2x = 0 Solving 5w2 + 2x = 0 Move all terms containing w to the left, all other terms to the right. Add '-2x' to each side of the equation. 5w2 + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 5w2 + 0 = 0 + -2x 5w2 = 0 + -2x Remove the zero: 5w2 = -2x Divide each side by '5'. w2 = -0.4x Simplifying w2 = -0.4x 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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