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Simplifying 28x3k2w2 + -36x2k4y + 42x3k4 + -24x2k2yw2 = 0 Reorder the terms: -24k2w2x2y + 28k2w2x3 + -36k4x2y + 42k4x3 = 0 Solving -24k2w2x2y + 28k2w2x3 + -36k4x2y + 42k4x3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '2k2x2'. 2k2x2(-12w2y + 14w2x + -18k2y + 21k2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'k2x2' equal to zero and attempt to solve: Simplifying k2x2 = 0 Solving k2x2 = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k2x2 = 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 '(-12w2y + 14w2x + -18k2y + 21k2x)' equal to zero and attempt to solve: Simplifying -12w2y + 14w2x + -18k2y + 21k2x = 0 Reorder the terms: 21k2x + -18k2y + 14w2x + -12w2y = 0 Solving 21k2x + -18k2y + 14w2x + -12w2y = 0 Move all terms containing k to the left, all other terms to the right. Add '-14w2x' to each side of the equation. 21k2x + -18k2y + 14w2x + -14w2x + -12w2y = 0 + -14w2x Combine like terms: 14w2x + -14w2x = 0 21k2x + -18k2y + 0 + -12w2y = 0 + -14w2x 21k2x + -18k2y + -12w2y = 0 + -14w2x Remove the zero: 21k2x + -18k2y + -12w2y = -14w2x Add '12w2y' to each side of the equation. 21k2x + -18k2y + -12w2y + 12w2y = -14w2x + 12w2y Combine like terms: -12w2y + 12w2y = 0 21k2x + -18k2y + 0 = -14w2x + 12w2y 21k2x + -18k2y = -14w2x + 12w2y 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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