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Simplifying (-8a3 + -14a2) + -1(-14a3 + -18a2) = 0 Reorder the terms: (-14a2 + -8a3) + -1(-14a3 + -18a2) = 0 Remove parenthesis around (-14a2 + -8a3) -14a2 + -8a3 + -1(-14a3 + -18a2) = 0 Reorder the terms: -14a2 + -8a3 + -1(-18a2 + -14a3) = 0 -14a2 + -8a3 + (-18a2 * -1 + -14a3 * -1) = 0 -14a2 + -8a3 + (18a2 + 14a3) = 0 Reorder the terms: -14a2 + 18a2 + -8a3 + 14a3 = 0 Combine like terms: -14a2 + 18a2 = 4a2 4a2 + -8a3 + 14a3 = 0 Combine like terms: -8a3 + 14a3 = 6a3 4a2 + 6a3 = 0 Solving 4a2 + 6a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a2'. 2a2(2 + 3a) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}Subproblem 2
Set the factor '(2 + 3a)' equal to zero and attempt to solve: Simplifying 2 + 3a = 0 Solving 2 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3a = 0 + -2 3a = 0 + -2 Combine like terms: 0 + -2 = -2 3a = -2 Divide each side by '3'. a = -0.6666666667 Simplifying a = -0.6666666667Solution
a = {0, -0.6666666667}
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