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Simplifying 25a2 + -120a + 144 = 0 Reorder the terms: 144 + -120a + 25a2 = 0 Solving 144 + -120a + 25a2 = 0 Solving for variable 'a'. Factor a trinomial. (12 + -5a)(12 + -5a) = 0Subproblem 1
Set the factor '(12 + -5a)' equal to zero and attempt to solve: Simplifying 12 + -5a = 0 Solving 12 + -5a = 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 + -5a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5a = 0 + -12 -5a = 0 + -12 Combine like terms: 0 + -12 = -12 -5a = -12 Divide each side by '-5'. a = 2.4 Simplifying a = 2.4Subproblem 2
Set the factor '(12 + -5a)' equal to zero and attempt to solve: Simplifying 12 + -5a = 0 Solving 12 + -5a = 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 + -5a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5a = 0 + -12 -5a = 0 + -12 Combine like terms: 0 + -12 = -12 -5a = -12 Divide each side by '-5'. a = 2.4 Simplifying a = 2.4Solution
a = {2.4, 2.4}
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