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Simplifying Solve(4 + y)(5y + 3) = 0 Reorder the terms: elovS(4 + y)(3 + 5y) = 0 Multiply (4 + y) * (3 + 5y) elovS(4(3 + 5y) + y(3 + 5y)) = 0 elovS((3 * 4 + 5y * 4) + y(3 + 5y)) = 0 elovS((12 + 20y) + y(3 + 5y)) = 0 elovS(12 + 20y + (3 * y + 5y * y)) = 0 elovS(12 + 20y + (3y + 5y2)) = 0 Combine like terms: 20y + 3y = 23y elovS(12 + 23y + 5y2) = 0 (12 * elovS + 23y * elovS + 5y2 * elovS) = 0 (12elovS + 23elovyS + 5elovy2S) = 0 Solving 12elovS + 23elovyS + 5elovy2S = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'elovS'. elovS(12 + 23y + 5y2) = 0 Factor a trinomial. elovS((4 + y)(3 + 5y)) = 0Subproblem 1
Set the factor 'elovS' equal to zero and attempt to solve: Simplifying elovS = 0 Solving elovS = 0 Move all terms containing e to the left, all other terms to the right. Simplifying elovS = 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 '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 0 Move all terms containing e to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Add '-1y' to each side of the equation. y + -1y = -4 + -1y Combine like terms: y + -1y = 0 0 = -4 + -1y Simplifying 0 = -4 + -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 '(3 + 5y)' equal to zero and attempt to solve: Simplifying 3 + 5y = 0 Solving 3 + 5y = 0 Move all terms containing e to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5y = 0 + -3 5y = 0 + -3 Combine like terms: 0 + -3 = -3 5y = -3 Add '-5y' to each side of the equation. 5y + -5y = -3 + -5y Combine like terms: 5y + -5y = 0 0 = -3 + -5y Simplifying 0 = -3 + -5y 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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