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Simplifying 7a2 + -26a + 24 = 0 Reorder the terms: 24 + -26a + 7a2 = 0 Solving 24 + -26a + 7a2 = 0 Solving for variable 'a'. Factor a trinomial. (12 + -7a)(2 + -1a) = 0Subproblem 1
Set the factor '(12 + -7a)' equal to zero and attempt to solve: Simplifying 12 + -7a = 0 Solving 12 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -7a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -7a = 0 + -12 -7a = 0 + -12 Combine like terms: 0 + -12 = -12 -7a = -12 Divide each side by '-7'. a = 1.714285714 Simplifying a = 1.714285714Subproblem 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 = {1.714285714, 2}
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