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Simplifying 0 = 4a(2a + -3) Reorder the terms: 0 = 4a(-3 + 2a) 0 = (-3 * 4a + 2a * 4a) 0 = (-12a + 8a2) Solving 0 = -12a + 8a2 Solving for variable 'a'. Remove the zero: 12a + -8a2 = -12a + 8a2 + 12a + -8a2 Reorder the terms: 12a + -8a2 = -12a + 12a + 8a2 + -8a2 Combine like terms: -12a + 12a = 0 12a + -8a2 = 0 + 8a2 + -8a2 12a + -8a2 = 8a2 + -8a2 Combine like terms: 8a2 + -8a2 = 0 12a + -8a2 = 0 Factor out the Greatest Common Factor (GCF), '4a'. 4a(3 + -2a) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 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 = {0, 1.5}
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