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Simplifying -15wx4 + -15wx3 + -21wx2 = 0 Reorder the terms: -21wx2 + -15wx3 + -15wx4 = 0 Solving -21wx2 + -15wx3 + -15wx4 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '-3wx2'. -3wx2(7 + 5x + 5x2) = 0 Ignore the factor -3.Subproblem 1
Set the factor 'wx2' equal to zero and attempt to solve: Simplifying wx2 = 0 Solving wx2 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying wx2 = 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 + 5x + 5x2)' equal to zero and attempt to solve: Simplifying 7 + 5x + 5x2 = 0 Solving 7 + 5x + 5x2 = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 5x + -7 + 5x2 = 0 + -7 Reorder the terms: 7 + -7 + 5x + 5x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x + 5x2 = 0 + -7 5x + 5x2 = 0 + -7 Combine like terms: 0 + -7 = -7 5x + 5x2 = -7 Add '-5x' to each side of the equation. 5x + -5x + 5x2 = -7 + -5x Combine like terms: 5x + -5x = 0 0 + 5x2 = -7 + -5x 5x2 = -7 + -5x Add '-5x2' to each side of the equation. 5x2 + -5x2 = -7 + -5x + -5x2 Combine like terms: 5x2 + -5x2 = 0 0 = -7 + -5x + -5x2 Simplifying 0 = -7 + -5x + -5x2 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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