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