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Simplifying 2x2 + -1(3 + -6a) * x + -2 = 0 Reorder the terms for easier multiplication: 2x2 + -1x(3 + -6a) + -2 = 0 2x2 + (3 * -1x + -6a * -1x) + -2 = 0 Reorder the terms: 2x2 + (6ax + -3x) + -2 = 0 2x2 + (6ax + -3x) + -2 = 0 Reorder the terms: -2 + 6ax + -3x + 2x2 = 0 Solving -2 + 6ax + -3x + 2x2 = 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 + 6ax + -3x + 2 + 2x2 = 0 + 2 Reorder the terms: -2 + 2 + 6ax + -3x + 2x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 6ax + -3x + 2x2 = 0 + 2 6ax + -3x + 2x2 = 0 + 2 Combine like terms: 0 + 2 = 2 6ax + -3x + 2x2 = 2 Add '3x' to each side of the equation. 6ax + -3x + 3x + 2x2 = 2 + 3x Combine like terms: -3x + 3x = 0 6ax + 0 + 2x2 = 2 + 3x 6ax + 2x2 = 2 + 3x Add '-2x2' to each side of the equation. 6ax + 2x2 + -2x2 = 2 + 3x + -2x2 Combine like terms: 2x2 + -2x2 = 0 6ax + 0 = 2 + 3x + -2x2 6ax = 2 + 3x + -2x2 Divide each side by '6x'. a = 0.3333333333x-1 + 0.5 + -0.3333333333x Simplifying a = 0.3333333333x-1 + 0.5 + -0.3333333333x Reorder the terms: a = 0.5 + 0.3333333333x-1 + -0.3333333333x
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