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Simplifying 14a2 + a + -4 = 0 Reorder the terms: -4 + a + 14a2 = 0 Solving -4 + a + 14a2 = 0 Solving for variable 'a'. Factor a trinomial. (-4 + -7a)(1 + -2a) = 0Subproblem 1
Set the factor '(-4 + -7a)' equal to zero and attempt to solve: Simplifying -4 + -7a = 0 Solving -4 + -7a = 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 + -7a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7a = 0 + 4 -7a = 0 + 4 Combine like terms: 0 + 4 = 4 -7a = 4 Divide each side by '-7'. a = -0.5714285714 Simplifying a = -0.5714285714Subproblem 2
Set the factor '(1 + -2a)' equal to zero and attempt to solve: Simplifying 1 + -2a = 0 Solving 1 + -2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2a = 0 + -1 -2a = 0 + -1 Combine like terms: 0 + -1 = -1 -2a = -1 Divide each side by '-2'. a = 0.5 Simplifying a = 0.5Solution
a = {-0.5714285714, 0.5}
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