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Simplifying 5a2 = 17a + -14 Reorder the terms: 5a2 = -14 + 17a Solving 5a2 = -14 + 17a Solving for variable 'a'. Reorder the terms: 14 + -17a + 5a2 = -14 + 17a + 14 + -17a Reorder the terms: 14 + -17a + 5a2 = -14 + 14 + 17a + -17a Combine like terms: -14 + 14 = 0 14 + -17a + 5a2 = 0 + 17a + -17a 14 + -17a + 5a2 = 17a + -17a Combine like terms: 17a + -17a = 0 14 + -17a + 5a2 = 0 Factor a trinomial. (7 + -5a)(2 + -1a) = 0Subproblem 1
Set the factor '(7 + -5a)' equal to zero and attempt to solve: Simplifying 7 + -5a = 0 Solving 7 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5a = 0 + -7 -5a = 0 + -7 Combine like terms: 0 + -7 = -7 -5a = -7 Divide each side by '-5'. a = 1.4 Simplifying a = 1.4Subproblem 2
Set the factor '(2 + -1a)' equal to zero and attempt to solve: Simplifying 2 + -1a = 0 Solving 2 + -1a = 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 + -1a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1a = 0 + -2 -1a = 0 + -2 Combine like terms: 0 + -2 = -2 -1a = -2 Divide each side by '-1'. a = 2 Simplifying a = 2Solution
a = {1.4, 2}
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