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Simplifying 7a2 + 12a + -4 = 0 Reorder the terms: -4 + 12a + 7a2 = 0 Solving -4 + 12a + 7a2 = 0 Solving for variable 'a'. Factor a trinomial. (-2 + -1a)(2 + -7a) = 0Subproblem 1
Set the factor '(-2 + -1a)' equal to zero and attempt to solve: Simplifying -2 + -1a = 0 Solving -2 + -1a = 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 + -1a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1a = 0 + 2 -1a = 0 + 2 Combine like terms: 0 + 2 = 2 -1a = 2 Divide each side by '-1'. a = -2 Simplifying a = -2Subproblem 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 = {-2, 0.2857142857}
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