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Simplifying 3a2 = 14a + 5 Reorder the terms: 3a2 = 5 + 14a Solving 3a2 = 5 + 14a Solving for variable 'a'. Reorder the terms: -5 + -14a + 3a2 = 5 + 14a + -5 + -14a Reorder the terms: -5 + -14a + 3a2 = 5 + -5 + 14a + -14a Combine like terms: 5 + -5 = 0 -5 + -14a + 3a2 = 0 + 14a + -14a -5 + -14a + 3a2 = 14a + -14a Combine like terms: 14a + -14a = 0 -5 + -14a + 3a2 = 0 Factor a trinomial. (-1 + -3a)(5 + -1a) = 0Subproblem 1
Set the factor '(-1 + -3a)' equal to zero and attempt to solve: Simplifying -1 + -3a = 0 Solving -1 + -3a = 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 + -3a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3a = 0 + 1 -3a = 0 + 1 Combine like terms: 0 + 1 = 1 -3a = 1 Divide each side by '-3'. a = -0.3333333333 Simplifying a = -0.3333333333Subproblem 2
Set the factor '(5 + -1a)' equal to zero and attempt to solve: Simplifying 5 + -1a = 0 Solving 5 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1a = 0 + -5 -1a = 0 + -5 Combine like terms: 0 + -5 = -5 -1a = -5 Divide each side by '-1'. a = 5 Simplifying a = 5Solution
a = {-0.3333333333, 5}
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