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Simplifying 5a2 = 26a + -24 Reorder the terms: 5a2 = -24 + 26a Solving 5a2 = -24 + 26a Solving for variable 'a'. Reorder the terms: 24 + -26a + 5a2 = -24 + 26a + 24 + -26a Reorder the terms: 24 + -26a + 5a2 = -24 + 24 + 26a + -26a Combine like terms: -24 + 24 = 0 24 + -26a + 5a2 = 0 + 26a + -26a 24 + -26a + 5a2 = 26a + -26a Combine like terms: 26a + -26a = 0 24 + -26a + 5a2 = 0 Factor a trinomial. (6 + -5a)(4 + -1a) = 0Subproblem 1
Set the factor '(6 + -5a)' equal to zero and attempt to solve: Simplifying 6 + -5a = 0 Solving 6 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5a = 0 + -6 -5a = 0 + -6 Combine like terms: 0 + -6 = -6 -5a = -6 Divide each side by '-5'. a = 1.2 Simplifying a = 1.2Subproblem 2
Set the factor '(4 + -1a)' equal to zero and attempt to solve: Simplifying 4 + -1a = 0 Solving 4 + -1a = 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 + -1a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = 0 + -4 -1a = 0 + -4 Combine like terms: 0 + -4 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4Solution
a = {1.2, 4}
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