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Simplifying 5a2 + -4a + -4 = -3 Reorder the terms: -4 + -4a + 5a2 = -3 Solving -4 + -4a + 5a2 = -3 Solving for variable 'a'. Reorder the terms: -4 + 3 + -4a + 5a2 = -3 + 3 Combine like terms: -4 + 3 = -1 -1 + -4a + 5a2 = -3 + 3 Combine like terms: -3 + 3 = 0 -1 + -4a + 5a2 = 0 Factor a trinomial. (-1 + -5a)(1 + -1a) = 0Subproblem 1
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 = -0.2Subproblem 2
Set the factor '(1 + -1a)' equal to zero and attempt to solve: Simplifying 1 + -1a = 0 Solving 1 + -1a = 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 + -1a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1a = 0 + -1 -1a = 0 + -1 Combine like terms: 0 + -1 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1Solution
a = {-0.2, 1}
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