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Simplifying x2 + -1(a + -2) * x + 4 = 0 Reorder the terms: x2 + -1(-2 + a) * x + 4 = 0 Reorder the terms for easier multiplication: x2 + -1x(-2 + a) + 4 = 0 x2 + (-2 * -1x + a * -1x) + 4 = 0 Reorder the terms: x2 + (-1ax + 2x) + 4 = 0 x2 + (-1ax + 2x) + 4 = 0 Reorder the terms: 4 + -1ax + 2x + x2 = 0 Solving 4 + -1ax + 2x + x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -1ax + 2x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -1ax + 2x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1ax + 2x + x2 = 0 + -4 -1ax + 2x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -1ax + 2x + x2 = -4 Add '-2x' to each side of the equation. -1ax + 2x + -2x + x2 = -4 + -2x Combine like terms: 2x + -2x = 0 -1ax + 0 + x2 = -4 + -2x -1ax + x2 = -4 + -2x Add '-1x2' to each side of the equation. -1ax + x2 + -1x2 = -4 + -2x + -1x2 Combine like terms: x2 + -1x2 = 0 -1ax + 0 = -4 + -2x + -1x2 -1ax = -4 + -2x + -1x2 Divide each side by '-1x'. a = 4x-1 + 2 + x Simplifying a = 4x-1 + 2 + x Reorder the terms: a = 2 + 4x-1 + x
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