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Simplifying 14a2 = -56 + 65a Solving 14a2 = -56 + 65a Solving for variable 'a'. Reorder the terms: 56 + -65a + 14a2 = -56 + 65a + 56 + -65a Reorder the terms: 56 + -65a + 14a2 = -56 + 56 + 65a + -65a Combine like terms: -56 + 56 = 0 56 + -65a + 14a2 = 0 + 65a + -65a 56 + -65a + 14a2 = 65a + -65a Combine like terms: 65a + -65a = 0 56 + -65a + 14a2 = 0 Factor a trinomial. (8 + -7a)(7 + -2a) = 0Subproblem 1
Set the factor '(8 + -7a)' equal to zero and attempt to solve: Simplifying 8 + -7a = 0 Solving 8 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7a = 0 + -8 -7a = 0 + -8 Combine like terms: 0 + -8 = -8 -7a = -8 Divide each side by '-7'. a = 1.142857143 Simplifying a = 1.142857143Subproblem 2
Set the factor '(7 + -2a)' equal to zero and attempt to solve: Simplifying 7 + -2a = 0 Solving 7 + -2a = 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 + -2a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2a = 0 + -7 -2a = 0 + -7 Combine like terms: 0 + -7 = -7 -2a = -7 Divide each side by '-2'. a = 3.5 Simplifying a = 3.5Solution
a = {1.142857143, 3.5}
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