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Simplifying (2a + -3)(2a + -3) = 0 Reorder the terms: (-3 + 2a)(2a + -3) = 0 Reorder the terms: (-3 + 2a)(-3 + 2a) = 0 Multiply (-3 + 2a) * (-3 + 2a) (-3(-3 + 2a) + 2a * (-3 + 2a)) = 0 ((-3 * -3 + 2a * -3) + 2a * (-3 + 2a)) = 0 ((9 + -6a) + 2a * (-3 + 2a)) = 0 (9 + -6a + (-3 * 2a + 2a * 2a)) = 0 (9 + -6a + (-6a + 4a2)) = 0 Combine like terms: -6a + -6a = -12a (9 + -12a + 4a2) = 0 Solving 9 + -12a + 4a2 = 0 Solving for variable 'a'. 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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