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Simplifying 8a2 + -9a + -5 = 4 + -3a Reorder the terms: -5 + -9a + 8a2 = 4 + -3a Solving -5 + -9a + 8a2 = 4 + -3a Solving for variable 'a'. Reorder the terms: -5 + -4 + -9a + 3a + 8a2 = 4 + -3a + -4 + 3a Combine like terms: -5 + -4 = -9 -9 + -9a + 3a + 8a2 = 4 + -3a + -4 + 3a Combine like terms: -9a + 3a = -6a -9 + -6a + 8a2 = 4 + -3a + -4 + 3a Reorder the terms: -9 + -6a + 8a2 = 4 + -4 + -3a + 3a Combine like terms: 4 + -4 = 0 -9 + -6a + 8a2 = 0 + -3a + 3a -9 + -6a + 8a2 = -3a + 3a Combine like terms: -3a + 3a = 0 -9 + -6a + 8a2 = 0 Factor a trinomial. (-3 + -4a)(3 + -2a) = 0Subproblem 1
Set the factor '(-3 + -4a)' equal to zero and attempt to solve: Simplifying -3 + -4a = 0 Solving -3 + -4a = 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 + -4a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4a = 0 + 3 -4a = 0 + 3 Combine like terms: 0 + 3 = 3 -4a = 3 Divide each side by '-4'. a = -0.75 Simplifying a = -0.75Subproblem 2
Set the factor '(3 + -2a)' equal to zero and attempt to solve: Simplifying 3 + -2a = 0 Solving 3 + -2a = 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 + -2a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2a = 0 + -3 -2a = 0 + -3 Combine like terms: 0 + -3 = -3 -2a = -3 Divide each side by '-2'. a = 1.5 Simplifying a = 1.5Solution
a = {-0.75, 1.5}
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