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Simplifying 126a2 + -427a + -630 = 0 Reorder the terms: -630 + -427a + 126a2 = 0 Solving -630 + -427a + 126a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '7'. 7(-90 + -61a + 18a2) = 0 Factor a trinomial. 7((-10 + -9a)(9 + -2a)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-10 + -9a)' equal to zero and attempt to solve: Simplifying -10 + -9a = 0 Solving -10 + -9a = 0 Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -9a = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -9a = 0 + 10 -9a = 0 + 10 Combine like terms: 0 + 10 = 10 -9a = 10 Divide each side by '-9'. a = -1.111111111 Simplifying a = -1.111111111Subproblem 2
Set the factor '(9 + -2a)' equal to zero and attempt to solve: Simplifying 9 + -2a = 0 Solving 9 + -2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2a = 0 + -9 -2a = 0 + -9 Combine like terms: 0 + -9 = -9 -2a = -9 Divide each side by '-2'. a = 4.5 Simplifying a = 4.5Solution
a = {-1.111111111, 4.5}
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