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Simplifying 7a2 + -29a + 24 = 0 Reorder the terms: 24 + -29a + 7a2 = 0 Solving 24 + -29a + 7a2 = 0 Solving for variable 'a'. Factor a trinomial. (8 + -7a)(3 + -1a) = 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 '(3 + -1a)' equal to zero and attempt to solve: Simplifying 3 + -1a = 0 Solving 3 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = 0 + -3 -1a = 0 + -3 Combine like terms: 0 + -3 = -3 -1a = -3 Divide each side by '-1'. a = 3 Simplifying a = 3Solution
a = {1.142857143, 3}
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