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Simplifying Solve(7x + 6)(3x + 10) = 0 Reorder the terms: elovS(6 + 7x)(3x + 10) = 0 Reorder the terms: elovS(6 + 7x)(10 + 3x) = 0 Multiply (6 + 7x) * (10 + 3x) elovS(6(10 + 3x) + 7x * (10 + 3x)) = 0 elovS((10 * 6 + 3x * 6) + 7x * (10 + 3x)) = 0 elovS((60 + 18x) + 7x * (10 + 3x)) = 0 elovS(60 + 18x + (10 * 7x + 3x * 7x)) = 0 elovS(60 + 18x + (70x + 21x2)) = 0 Combine like terms: 18x + 70x = 88x elovS(60 + 88x + 21x2) = 0 (60 * elovS + 88x * elovS + 21x2 * elovS) = 0 (60elovS + 88elovxS + 21elovx2S) = 0 Solving 60elovS + 88elovxS + 21elovx2S = 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(60 + 88x + 21x2) = 0 Factor a trinomial. elovS((10 + 3x)(6 + 7x)) = 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 '(10 + 3x)' equal to zero and attempt to solve: Simplifying 10 + 3x = 0 Solving 10 + 3x = 0 Move all terms containing e to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 0 + -10 3x = 0 + -10 Combine like terms: 0 + -10 = -10 3x = -10 Add '-3x' to each side of the equation. 3x + -3x = -10 + -3x Combine like terms: 3x + -3x = 0 0 = -10 + -3x Simplifying 0 = -10 + -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 '(6 + 7x)' equal to zero and attempt to solve: Simplifying 6 + 7x = 0 Solving 6 + 7x = 0 Move all terms containing e to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 0 + -6 7x = 0 + -6 Combine like terms: 0 + -6 = -6 7x = -6 Add '-7x' to each side of the equation. 7x + -7x = -6 + -7x Combine like terms: 7x + -7x = 0 0 = -6 + -7x Simplifying 0 = -6 + -7x 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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