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Simplifying (3y + -6)(7y + -6u + 1) = 0 Reorder the terms: (-6 + 3y)(7y + -6u + 1) = 0 Reorder the terms: (-6 + 3y)(1 + -6u + 7y) = 0 Multiply (-6 + 3y) * (1 + -6u + 7y) (-6(1 + -6u + 7y) + 3y * (1 + -6u + 7y)) = 0 ((1 * -6 + -6u * -6 + 7y * -6) + 3y * (1 + -6u + 7y)) = 0 ((-6 + 36u + -42y) + 3y * (1 + -6u + 7y)) = 0 (-6 + 36u + -42y + (1 * 3y + -6u * 3y + 7y * 3y)) = 0 Reorder the terms: (-6 + 36u + -42y + (-18uy + 3y + 21y2)) = 0 (-6 + 36u + -42y + (-18uy + 3y + 21y2)) = 0 Reorder the terms: (-6 + 36u + -18uy + -42y + 3y + 21y2) = 0 Combine like terms: -42y + 3y = -39y (-6 + 36u + -18uy + -39y + 21y2) = 0 Solving -6 + 36u + -18uy + -39y + 21y2 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 36u + -18uy + -39y + 6 + 21y2 = 0 + 6 Reorder the terms: -6 + 6 + 36u + -18uy + -39y + 21y2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 36u + -18uy + -39y + 21y2 = 0 + 6 36u + -18uy + -39y + 21y2 = 0 + 6 Combine like terms: 0 + 6 = 6 36u + -18uy + -39y + 21y2 = 6 Add '39y' to each side of the equation. 36u + -18uy + -39y + 39y + 21y2 = 6 + 39y Combine like terms: -39y + 39y = 0 36u + -18uy + 0 + 21y2 = 6 + 39y 36u + -18uy + 21y2 = 6 + 39y Add '-21y2' to each side of the equation. 36u + -18uy + 21y2 + -21y2 = 6 + 39y + -21y2 Combine like terms: 21y2 + -21y2 = 0 36u + -18uy + 0 = 6 + 39y + -21y2 36u + -18uy = 6 + 39y + -21y2 Reorder the terms: -6 + 36u + -18uy + -39y + 21y2 = 6 + 39y + -21y2 + -6 + -39y + 21y2 Reorder the terms: -6 + 36u + -18uy + -39y + 21y2 = 6 + -6 + 39y + -39y + -21y2 + 21y2 Combine like terms: 6 + -6 = 0 -6 + 36u + -18uy + -39y + 21y2 = 0 + 39y + -39y + -21y2 + 21y2 -6 + 36u + -18uy + -39y + 21y2 = 39y + -39y + -21y2 + 21y2 Combine like terms: 39y + -39y = 0 -6 + 36u + -18uy + -39y + 21y2 = 0 + -21y2 + 21y2 -6 + 36u + -18uy + -39y + 21y2 = -21y2 + 21y2 Combine like terms: -21y2 + 21y2 = 0 -6 + 36u + -18uy + -39y + 21y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-2 + 12u + -6uy + -13y + 7y2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + 12u + -6uy + -13y + 7y2)' equal to zero and attempt to solve: Simplifying -2 + 12u + -6uy + -13y + 7y2 = 0 Solving -2 + 12u + -6uy + -13y + 7y2 = 0 Move all terms containing u to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 12u + -6uy + -13y + 2 + 7y2 = 0 + 2 Reorder the terms: -2 + 2 + 12u + -6uy + -13y + 7y2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 12u + -6uy + -13y + 7y2 = 0 + 2 12u + -6uy + -13y + 7y2 = 0 + 2 Combine like terms: 0 + 2 = 2 12u + -6uy + -13y + 7y2 = 2 Add '13y' to each side of the equation. 12u + -6uy + -13y + 13y + 7y2 = 2 + 13y Combine like terms: -13y + 13y = 0 12u + -6uy + 0 + 7y2 = 2 + 13y 12u + -6uy + 7y2 = 2 + 13y Add '-7y2' to each side of the equation. 12u + -6uy + 7y2 + -7y2 = 2 + 13y + -7y2 Combine like terms: 7y2 + -7y2 = 0 12u + -6uy + 0 = 2 + 13y + -7y2 12u + -6uy = 2 + 13y + -7y2 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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