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Simplifying 6x2y + -21y2w + 24xwy = 0 Reorder the terms: 24wxy + -21wy2 + 6x2y = 0 Solving 24wxy + -21wy2 + 6x2y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6x2y' to each side of the equation. 24wxy + -21wy2 + 6x2y + -6x2y = 0 + -6x2y Combine like terms: 6x2y + -6x2y = 0 24wxy + -21wy2 + 0 = 0 + -6x2y 24wxy + -21wy2 = 0 + -6x2y Remove the zero: 24wxy + -21wy2 = -6x2y Combine like terms: -6x2y + 6x2y = 0 24wxy + -21wy2 + 6x2y = 0 Factor out the Greatest Common Factor (GCF), '3y'. 3y(8wx + -7wy + 2x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing w to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(8wx + -7wy + 2x2)' equal to zero and attempt to solve: Simplifying 8wx + -7wy + 2x2 = 0 Solving 8wx + -7wy + 2x2 = 0 Move all terms containing w to the left, all other terms to the right. Add '-2x2' to each side of the equation. 8wx + -7wy + 2x2 + -2x2 = 0 + -2x2 Combine like terms: 2x2 + -2x2 = 0 8wx + -7wy + 0 = 0 + -2x2 8wx + -7wy = 0 + -2x2 Remove the zero: 8wx + -7wy = -2x2 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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