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Simplifying (a + -4) * times(a + 5) = 0 Reorder the terms: (-4 + a) * times(a + 5) = 0 Reorder the terms: (-4 + a) * eimst(5 + a) = 0 Reorder the terms for easier multiplication: eimst(-4 + a)(5 + a) = 0 Multiply (-4 + a) * (5 + a) eimst(-4(5 + a) + a(5 + a)) = 0 eimst((5 * -4 + a * -4) + a(5 + a)) = 0 eimst((-20 + -4a) + a(5 + a)) = 0 eimst(-20 + -4a + (5 * a + a * a)) = 0 eimst(-20 + -4a + (5a + a2)) = 0 Combine like terms: -4a + 5a = 1a eimst(-20 + 1a + a2) = 0 (-20 * eimst + 1a * eimst + a2 * eimst) = 0 Reorder the terms: (1aeimst + a2eimst + -20eimst) = 0 (1aeimst + a2eimst + -20eimst) = 0 Solving 1aeimst + a2eimst + -20eimst = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'eimst'. eimst(a + a2 + -20) = 0 Factor a trinomial. eimst((a + -4)(a + 5)) = 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 + -4)' equal to zero and attempt to solve: Simplifying a + -4 = 0 Reorder the terms: -4 + a = 0 Solving -4 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + a = 0 + 4 a = 0 + 4 Combine like terms: 0 + 4 = 4 a = 4 Simplifying a = 4Subproblem 3
Set the factor '(a + 5)' equal to zero and attempt to solve: Simplifying a + 5 = 0 Reorder the terms: 5 + a = 0 Solving 5 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + a = 0 + -5 a = 0 + -5 Combine like terms: 0 + -5 = -5 a = -5 Simplifying a = -5Solution
a = {4, -5}
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