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Simplifying Solve(x + -8)(3x + 5) = 0 Reorder the terms: elovS(-8 + x)(3x + 5) = 0 Reorder the terms: elovS(-8 + x)(5 + 3x) = 0 Multiply (-8 + x) * (5 + 3x) elovS(-8(5 + 3x) + x(5 + 3x)) = 0 elovS((5 * -8 + 3x * -8) + x(5 + 3x)) = 0 elovS((-40 + -24x) + x(5 + 3x)) = 0 elovS(-40 + -24x + (5 * x + 3x * x)) = 0 elovS(-40 + -24x + (5x + 3x2)) = 0 Combine like terms: -24x + 5x = -19x elovS(-40 + -19x + 3x2) = 0 (-40 * elovS + -19x * elovS + 3x2 * elovS) = 0 (-40elovS + -19elovxS + 3elovx2S) = 0 Solving -40elovS + -19elovxS + 3elovx2S = 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(-40 + -19x + 3x2) = 0 Factor a trinomial. elovS((-5 + -3x)(8 + -1x)) = 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 '(-5 + -3x)' equal to zero and attempt to solve: Simplifying -5 + -3x = 0 Solving -5 + -3x = 0 Move all terms containing e to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 0 + 5 -3x = 0 + 5 Combine like terms: 0 + 5 = 5 -3x = 5 Add '3x' to each side of the equation. -3x + 3x = 5 + 3x Combine like terms: -3x + 3x = 0 0 = 5 + 3x Simplifying 0 = 5 + 3x 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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing e to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Add 'x' to each side of the equation. -1x + x = -8 + x Combine like terms: -1x + x = 0 0 = -8 + x Simplifying 0 = -8 + x 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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