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Simplifying 225a2 + -120a + 16 = 0 Reorder the terms: 16 + -120a + 225a2 = 0 Solving 16 + -120a + 225a2 = 0 Solving for variable 'a'. Factor a trinomial. (4 + -15a)(4 + -15a) = 0Subproblem 1
Set the factor '(4 + -15a)' equal to zero and attempt to solve: Simplifying 4 + -15a = 0 Solving 4 + -15a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -15a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -15a = 0 + -4 -15a = 0 + -4 Combine like terms: 0 + -4 = -4 -15a = -4 Divide each side by '-15'. a = 0.2666666667 Simplifying a = 0.2666666667Subproblem 2
Set the factor '(4 + -15a)' equal to zero and attempt to solve: Simplifying 4 + -15a = 0 Solving 4 + -15a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -15a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -15a = 0 + -4 -15a = 0 + -4 Combine like terms: 0 + -4 = -4 -15a = -4 Divide each side by '-15'. a = 0.2666666667 Simplifying a = 0.2666666667Solution
a = {0.2666666667, 0.2666666667}
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