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Simplifying -10a2 + -3a + 8 = 8 Reorder the terms: 8 + -3a + -10a2 = 8 Add '-8' to each side of the equation. 8 + -3a + -8 + -10a2 = 8 + -8 Reorder the terms: 8 + -8 + -3a + -10a2 = 8 + -8 Combine like terms: 8 + -8 = 0 0 + -3a + -10a2 = 8 + -8 -3a + -10a2 = 8 + -8 Combine like terms: 8 + -8 = 0 -3a + -10a2 = 0 Solving -3a + -10a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-1a'. -1a(3 + 10a) = 0 Ignore the factor -1.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 + 10a)' equal to zero and attempt to solve: Simplifying 3 + 10a = 0 Solving 3 + 10a = 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 + 10a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 10a = 0 + -3 10a = 0 + -3 Combine like terms: 0 + -3 = -3 10a = -3 Divide each side by '10'. a = -0.3 Simplifying a = -0.3Solution
a = {0, -0.3}
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