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Simplifying 21a2 + 22a + -8 = 0 Reorder the terms: -8 + 22a + 21a2 = 0 Solving -8 + 22a + 21a2 = 0 Solving for variable 'a'. Factor a trinomial. (-4 + -3a)(2 + -7a) = 0Subproblem 1
Set the factor '(-4 + -3a)' equal to zero and attempt to solve: Simplifying -4 + -3a = 0 Solving -4 + -3a = 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 + -3a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3a = 0 + 4 -3a = 0 + 4 Combine like terms: 0 + 4 = 4 -3a = 4 Divide each side by '-3'. a = -1.333333333 Simplifying a = -1.333333333Subproblem 2
Set the factor '(2 + -7a)' equal to zero and attempt to solve: Simplifying 2 + -7a = 0 Solving 2 + -7a = 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 + -7a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7a = 0 + -2 -7a = 0 + -2 Combine like terms: 0 + -2 = -2 -7a = -2 Divide each side by '-7'. a = 0.2857142857 Simplifying a = 0.2857142857Solution
a = {-1.333333333, 0.2857142857}
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