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Simplifying 25a2 + -3a + -4 = -2 + 2a Reorder the terms: -4 + -3a + 25a2 = -2 + 2a Solving -4 + -3a + 25a2 = -2 + 2a Solving for variable 'a'. Reorder the terms: -4 + 2 + -3a + -2a + 25a2 = -2 + 2a + 2 + -2a Combine like terms: -4 + 2 = -2 -2 + -3a + -2a + 25a2 = -2 + 2a + 2 + -2a Combine like terms: -3a + -2a = -5a -2 + -5a + 25a2 = -2 + 2a + 2 + -2a Reorder the terms: -2 + -5a + 25a2 = -2 + 2 + 2a + -2a Combine like terms: -2 + 2 = 0 -2 + -5a + 25a2 = 0 + 2a + -2a -2 + -5a + 25a2 = 2a + -2a Combine like terms: 2a + -2a = 0 -2 + -5a + 25a2 = 0 Factor a trinomial. (-1 + -5a)(2 + -5a) = 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 '(2 + -5a)' equal to zero and attempt to solve: Simplifying 2 + -5a = 0 Solving 2 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5a = 0 + -2 -5a = 0 + -2 Combine like terms: 0 + -2 = -2 -5a = -2 Divide each side by '-5'. a = 0.4 Simplifying a = 0.4Solution
a = {-0.2, 0.4}
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