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Simplifying 6a2 + 10 = 3a + 10 Reorder the terms: 10 + 6a2 = 3a + 10 Reorder the terms: 10 + 6a2 = 10 + 3a Add '-10' to each side of the equation. 10 + -10 + 6a2 = 10 + -10 + 3a Combine like terms: 10 + -10 = 0 0 + 6a2 = 10 + -10 + 3a 6a2 = 10 + -10 + 3a Combine like terms: 10 + -10 = 0 6a2 = 0 + 3a 6a2 = 3a Solving 6a2 = 3a Solving for variable 'a'. Reorder the terms: -3a + 6a2 = 3a + -3a Combine like terms: 3a + -3a = 0 -3a + 6a2 = 0 Factor out the Greatest Common Factor (GCF), '3a'. 3a(-1 + 2a) = 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 + 2a)' equal to zero and attempt to solve: Simplifying -1 + 2a = 0 Solving -1 + 2a = 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 + 2a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2a = 0 + 1 2a = 0 + 1 Combine like terms: 0 + 1 = 1 2a = 1 Divide each side by '2'. a = 0.5 Simplifying a = 0.5Solution
a = {0, 0.5}
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