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Simplifying (2y + -6)(5y + 4u + 3) = 0 Reorder the terms: (-6 + 2y)(5y + 4u + 3) = 0 Reorder the terms: (-6 + 2y)(3 + 4u + 5y) = 0 Multiply (-6 + 2y) * (3 + 4u + 5y) (-6(3 + 4u + 5y) + 2y * (3 + 4u + 5y)) = 0 ((3 * -6 + 4u * -6 + 5y * -6) + 2y * (3 + 4u + 5y)) = 0 ((-18 + -24u + -30y) + 2y * (3 + 4u + 5y)) = 0 (-18 + -24u + -30y + (3 * 2y + 4u * 2y + 5y * 2y)) = 0 Reorder the terms: (-18 + -24u + -30y + (8uy + 6y + 10y2)) = 0 (-18 + -24u + -30y + (8uy + 6y + 10y2)) = 0 Reorder the terms: (-18 + -24u + 8uy + -30y + 6y + 10y2) = 0 Combine like terms: -30y + 6y = -24y (-18 + -24u + 8uy + -24y + 10y2) = 0 Solving -18 + -24u + 8uy + -24y + 10y2 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -24u + 8uy + -24y + 18 + 10y2 = 0 + 18 Reorder the terms: -18 + 18 + -24u + 8uy + -24y + 10y2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -24u + 8uy + -24y + 10y2 = 0 + 18 -24u + 8uy + -24y + 10y2 = 0 + 18 Combine like terms: 0 + 18 = 18 -24u + 8uy + -24y + 10y2 = 18 Add '24y' to each side of the equation. -24u + 8uy + -24y + 24y + 10y2 = 18 + 24y Combine like terms: -24y + 24y = 0 -24u + 8uy + 0 + 10y2 = 18 + 24y -24u + 8uy + 10y2 = 18 + 24y Add '-10y2' to each side of the equation. -24u + 8uy + 10y2 + -10y2 = 18 + 24y + -10y2 Combine like terms: 10y2 + -10y2 = 0 -24u + 8uy + 0 = 18 + 24y + -10y2 -24u + 8uy = 18 + 24y + -10y2 Reorder the terms: -18 + -24u + 8uy + -24y + 10y2 = 18 + 24y + -10y2 + -18 + -24y + 10y2 Reorder the terms: -18 + -24u + 8uy + -24y + 10y2 = 18 + -18 + 24y + -24y + -10y2 + 10y2 Combine like terms: 18 + -18 = 0 -18 + -24u + 8uy + -24y + 10y2 = 0 + 24y + -24y + -10y2 + 10y2 -18 + -24u + 8uy + -24y + 10y2 = 24y + -24y + -10y2 + 10y2 Combine like terms: 24y + -24y = 0 -18 + -24u + 8uy + -24y + 10y2 = 0 + -10y2 + 10y2 -18 + -24u + 8uy + -24y + 10y2 = -10y2 + 10y2 Combine like terms: -10y2 + 10y2 = 0 -18 + -24u + 8uy + -24y + 10y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + -12u + 4uy + -12y + 5y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + -12u + 4uy + -12y + 5y2)' equal to zero and attempt to solve: Simplifying -9 + -12u + 4uy + -12y + 5y2 = 0 Solving -9 + -12u + 4uy + -12y + 5y2 = 0 Move all terms containing u to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -12u + 4uy + -12y + 9 + 5y2 = 0 + 9 Reorder the terms: -9 + 9 + -12u + 4uy + -12y + 5y2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -12u + 4uy + -12y + 5y2 = 0 + 9 -12u + 4uy + -12y + 5y2 = 0 + 9 Combine like terms: 0 + 9 = 9 -12u + 4uy + -12y + 5y2 = 9 Add '12y' to each side of the equation. -12u + 4uy + -12y + 12y + 5y2 = 9 + 12y Combine like terms: -12y + 12y = 0 -12u + 4uy + 0 + 5y2 = 9 + 12y -12u + 4uy + 5y2 = 9 + 12y Add '-5y2' to each side of the equation. -12u + 4uy + 5y2 + -5y2 = 9 + 12y + -5y2 Combine like terms: 5y2 + -5y2 = 0 -12u + 4uy + 0 = 9 + 12y + -5y2 -12u + 4uy = 9 + 12y + -5y2 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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