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Simplifying (a + -6) * times(a + -7) = 0 Reorder the terms: (-6 + a) * times(a + -7) = 0 Reorder the terms: (-6 + a) * eimst(-7 + a) = 0 Reorder the terms for easier multiplication: eimst(-6 + a)(-7 + a) = 0 Multiply (-6 + a) * (-7 + a) eimst(-6(-7 + a) + a(-7 + a)) = 0 eimst((-7 * -6 + a * -6) + a(-7 + a)) = 0 eimst((42 + -6a) + a(-7 + a)) = 0 eimst(42 + -6a + (-7 * a + a * a)) = 0 eimst(42 + -6a + (-7a + a2)) = 0 Combine like terms: -6a + -7a = -13a eimst(42 + -13a + a2) = 0 (42 * eimst + -13a * eimst + a2 * eimst) = 0 Reorder the terms: (-13aeimst + a2eimst + 42eimst) = 0 (-13aeimst + a2eimst + 42eimst) = 0 Solving -13aeimst + a2eimst + 42eimst = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'eimst'. eimst(-13a + a2 + 42) = 0 Factor a trinomial. eimst((a + -7)(a + -6)) = 0Subproblem 1
Set the factor 'eimst' equal to zero and attempt to solve: Simplifying eimst = 0 Solving eimst = 0 Move all terms containing a to the left, all other terms to the right. Add '-1eimst' to each side of the equation. eimst + -1eimst = 0 + -1eimst Remove the zero: 0 = -1eimst Simplifying 0 = -1eimst 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 '(a + -7)' equal to zero and attempt to solve: Simplifying a + -7 = 0 Reorder the terms: -7 + a = 0 Solving -7 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + a = 0 + 7 a = 0 + 7 Combine like terms: 0 + 7 = 7 a = 7 Simplifying a = 7Subproblem 3
Set the factor '(a + -6)' equal to zero and attempt to solve: Simplifying a + -6 = 0 Reorder the terms: -6 + a = 0 Solving -6 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + a = 0 + 6 Combine like terms: -6 + 6 = 0 0 + a = 0 + 6 a = 0 + 6 Combine like terms: 0 + 6 = 6 a = 6 Simplifying a = 6Solution
a = {7, 6}
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