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Simplifying 4a2 = 12a + -9 Reorder the terms: 4a2 = -9 + 12a Solving 4a2 = -9 + 12a Solving for variable 'a'. Reorder the terms: 9 + -12a + 4a2 = -9 + 12a + 9 + -12a Reorder the terms: 9 + -12a + 4a2 = -9 + 9 + 12a + -12a Combine like terms: -9 + 9 = 0 9 + -12a + 4a2 = 0 + 12a + -12a 9 + -12a + 4a2 = 12a + -12a Combine like terms: 12a + -12a = 0 9 + -12a + 4a2 = 0 Factor a trinomial. (3 + -2a)(3 + -2a) = 0Subproblem 1
Set the factor '(3 + -2a)' equal to zero and attempt to solve: Simplifying 3 + -2a = 0 Solving 3 + -2a = 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 + -2a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2a = 0 + -3 -2a = 0 + -3 Combine like terms: 0 + -3 = -3 -2a = -3 Divide each side by '-2'. a = 1.5 Simplifying a = 1.5Subproblem 2
Set the factor '(3 + -2a)' equal to zero and attempt to solve: Simplifying 3 + -2a = 0 Solving 3 + -2a = 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 + -2a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2a = 0 + -3 -2a = 0 + -3 Combine like terms: 0 + -3 = -3 -2a = -3 Divide each side by '-2'. a = 1.5 Simplifying a = 1.5Solution
a = {1.5, 1.5}
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