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Simplifying x2 + x + -1(2a + 2) = 0 Reorder the terms: x2 + x + -1(2 + 2a) = 0 x2 + x + (2 * -1 + 2a * -1) = 0 x2 + x + (-2 + -2a) = 0 Reorder the terms: -2 + -2a + x + x2 = 0 Solving -2 + -2a + x + x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -2a + x + 2 + x2 = 0 + 2 Reorder the terms: -2 + 2 + -2a + x + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -2a + x + x2 = 0 + 2 -2a + x + x2 = 0 + 2 Combine like terms: 0 + 2 = 2 -2a + x + x2 = 2 Add '-1x' to each side of the equation. -2a + x + -1x + x2 = 2 + -1x Combine like terms: x + -1x = 0 -2a + 0 + x2 = 2 + -1x -2a + x2 = 2 + -1x Add '-1x2' to each side of the equation. -2a + x2 + -1x2 = 2 + -1x + -1x2 Combine like terms: x2 + -1x2 = 0 -2a + 0 = 2 + -1x + -1x2 -2a = 2 + -1x + -1x2 Divide each side by '-2'. a = -1 + 0.5x + 0.5x2 Simplifying a = -1 + 0.5x + 0.5x2
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