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Simplifying factor(6y + 48)(y + 2) = 0 Reorder the terms: acfort(48 + 6y)(y + 2) = 0 Reorder the terms: acfort(48 + 6y)(2 + y) = 0 Multiply (48 + 6y) * (2 + y) acfort(48(2 + y) + 6y * (2 + y)) = 0 acfort((2 * 48 + y * 48) + 6y * (2 + y)) = 0 acfort((96 + 48y) + 6y * (2 + y)) = 0 acfort(96 + 48y + (2 * 6y + y * 6y)) = 0 acfort(96 + 48y + (12y + 6y2)) = 0 Combine like terms: 48y + 12y = 60y acfort(96 + 60y + 6y2) = 0 (96 * acfort + 60y * acfort + 6y2 * acfort) = 0 (96acfort + 60acforty + 6acforty2) = 0 Solving 96acfort + 60acforty + 6acforty2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '6acfort'. 6acfort(16 + 10y + y2) = 0 Factor a trinomial. 6acfort((8 + y)(2 + y)) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'acfort' equal to zero and attempt to solve: Simplifying acfort = 0 Solving acfort = 0 Move all terms containing a to the left, all other terms to the right. Simplifying acfort = 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 '(8 + y)' equal to zero and attempt to solve: Simplifying 8 + y = 0 Solving 8 + y = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + y = 0 + -8 y = 0 + -8 Combine like terms: 0 + -8 = -8 y = -8 Add '-1y' to each side of the equation. y + -1y = -8 + -1y Combine like terms: y + -1y = 0 0 = -8 + -1y Simplifying 0 = -8 + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Add '-1y' to each side of the equation. y + -1y = -2 + -1y Combine like terms: y + -1y = 0 0 = -2 + -1y Simplifying 0 = -2 + -1y 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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