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Simplifying 4a * 4a + -1a * a + a + -4a + 4 + -4 = 0 Reorder the terms for easier multiplication: 4 * 4a * a + -1a * a + a + -4a + 4 + -4 = 0 Multiply 4 * 4 16a * a + -1a * a + a + -4a + 4 + -4 = 0 Multiply a * a 16a2 + -1a * a + a + -4a + 4 + -4 = 0 Multiply a * a 16a2 + -1a2 + a + -4a + 4 + -4 = 0 Reorder the terms: 4 + -4 + a + -4a + 16a2 + -1a2 = 0 Combine like terms: 4 + -4 = 0 0 + a + -4a + 16a2 + -1a2 = 0 a + -4a + 16a2 + -1a2 = 0 Combine like terms: a + -4a = -3a -3a + 16a2 + -1a2 = 0 Combine like terms: 16a2 + -1a2 = 15a2 -3a + 15a2 = 0 Solving -3a + 15a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(-1 + 5a) = 0 Ignore the factor 3.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 + 5a)' equal to zero and attempt to solve: Simplifying -1 + 5a = 0 Solving -1 + 5a = 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 + 5a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5a = 0 + 1 5a = 0 + 1 Combine like terms: 0 + 1 = 1 5a = 1 Divide each side by '5'. a = 0.2 Simplifying a = 0.2Solution
a = {0, 0.2}
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