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Simplifying -3a2 + -5 = -40a + -5 Reorder the terms: -5 + -3a2 = -40a + -5 Reorder the terms: -5 + -3a2 = -5 + -40a Add '5' to each side of the equation. -5 + 5 + -3a2 = -5 + 5 + -40a Combine like terms: -5 + 5 = 0 0 + -3a2 = -5 + 5 + -40a -3a2 = -5 + 5 + -40a Combine like terms: -5 + 5 = 0 -3a2 = 0 + -40a -3a2 = -40a Solving -3a2 = -40a Solving for variable 'a'. Reorder the terms: 40a + -3a2 = -40a + 40a Combine like terms: -40a + 40a = 0 40a + -3a2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(40 + -3a) = 0Subproblem 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 '(40 + -3a)' equal to zero and attempt to solve: Simplifying 40 + -3a = 0 Solving 40 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -3a = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -3a = 0 + -40 -3a = 0 + -40 Combine like terms: 0 + -40 = -40 -3a = -40 Divide each side by '-3'. a = 13.33333333 Simplifying a = 13.33333333Solution
a = {0, 13.33333333}
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