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Simplifying 2a * 2a + -1a = 3 Reorder the terms for easier multiplication: 2 * 2a * a + -1a = 3 Multiply 2 * 2 4a * a + -1a = 3 Multiply a * a 4a2 + -1a = 3 Reorder the terms: -1a + 4a2 = 3 Solving -1a + 4a2 = 3 Solving for variable 'a'. Reorder the terms: -3 + -1a + 4a2 = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + -1a + 4a2 = 0 Factor a trinomial. (-3 + -4a)(1 + -1a) = 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 '(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 = {-0.75, 1}
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