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Simplifying -2a2 + 2a + -3a2 + 0a2 + -3a2 = 0 Anything times zero is zero. -2a2 + 2a + -3a2 + 0a2 + -3a2 = 0 Reorder the terms: 0 + 2a + -2a2 + -3a2 + -3a2 = 0 Remove the zero: 2a + -2a2 + -3a2 + -3a2 = 0 Combine like terms: -2a2 + -3a2 = -5a2 2a + -5a2 + -3a2 = 0 Combine like terms: -5a2 + -3a2 = -8a2 2a + -8a2 = 0 Solving 2a + -8a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(1 + -4a) = 0 Ignore the factor 2.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 '(1 + -4a)' equal to zero and attempt to solve: Simplifying 1 + -4a = 0 Solving 1 + -4a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4a = 0 + -1 -4a = 0 + -1 Combine like terms: 0 + -1 = -1 -4a = -1 Divide each side by '-4'. a = 0.25 Simplifying a = 0.25Solution
a = {0, 0.25}
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