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Simplifying 3a2 = 13a + 10 Reorder the terms: 3a2 = 10 + 13a Solving 3a2 = 10 + 13a Solving for variable 'a'. Reorder the terms: -10 + -13a + 3a2 = 10 + 13a + -10 + -13a Reorder the terms: -10 + -13a + 3a2 = 10 + -10 + 13a + -13a Combine like terms: 10 + -10 = 0 -10 + -13a + 3a2 = 0 + 13a + -13a -10 + -13a + 3a2 = 13a + -13a Combine like terms: 13a + -13a = 0 -10 + -13a + 3a2 = 0 Factor a trinomial. (-2 + -3a)(5 + -1a) = 0Subproblem 1
Set the factor '(-2 + -3a)' equal to zero and attempt to solve: Simplifying -2 + -3a = 0 Solving -2 + -3a = 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 + -3a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3a = 0 + 2 -3a = 0 + 2 Combine like terms: 0 + 2 = 2 -3a = 2 Divide each side by '-3'. a = -0.6666666667 Simplifying a = -0.6666666667Subproblem 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 = {-0.6666666667, 5}
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