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Simplifying (a + -1) * x2 + -6x + 4 = 0 Reorder the terms: (-1 + a) * x2 + -6x + 4 = 0 Reorder the terms for easier multiplication: x2(-1 + a) + -6x + 4 = 0 (-1 * x2 + a * x2) + -6x + 4 = 0 Reorder the terms: (ax2 + -1x2) + -6x + 4 = 0 (ax2 + -1x2) + -6x + 4 = 0 Reorder the terms: 4 + ax2 + -6x + -1x2 = 0 Solving 4 + ax2 + -6x + -1x2 = 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 + ax2 + -6x + -4 + -1x2 = 0 + -4 Reorder the terms: 4 + -4 + ax2 + -6x + -1x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + ax2 + -6x + -1x2 = 0 + -4 ax2 + -6x + -1x2 = 0 + -4 Combine like terms: 0 + -4 = -4 ax2 + -6x + -1x2 = -4 Add '6x' to each side of the equation. ax2 + -6x + 6x + -1x2 = -4 + 6x Combine like terms: -6x + 6x = 0 ax2 + 0 + -1x2 = -4 + 6x ax2 + -1x2 = -4 + 6x Add 'x2' to each side of the equation. ax2 + -1x2 + x2 = -4 + 6x + x2 Combine like terms: -1x2 + x2 = 0 ax2 + 0 = -4 + 6x + x2 ax2 = -4 + 6x + x2 Divide each side by 'x2'. a = -4x-2 + 6x-1 + 1 Simplifying a = -4x-2 + 6x-1 + 1 Reorder the terms: a = 1 + -4x-2 + 6x-1
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