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Simplifying 28a2 + a = 2 Reorder the terms: a + 28a2 = 2 Solving a + 28a2 = 2 Solving for variable 'a'. Reorder the terms: -2 + a + 28a2 = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + a + 28a2 = 0 Factor a trinomial. (-2 + -7a)(1 + -4a) = 0Subproblem 1
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 = -0.2857142857Subproblem 2
Set the factor '(1 + -4a)' equal to zero and attempt to solve: Simplifying 1 + -4a = 0 Solving 1 + -4a = 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 + -4a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4a = 0 + -1 -4a = 0 + -1 Combine like terms: 0 + -1 = -1 -4a = -1 Divide each side by '-4'. a = 0.25 Simplifying a = 0.25Solution
a = {-0.2857142857, 0.25}
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