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Simplifying x2 + ax + bx + 6 = 0 Reorder the terms: 6 + ax + bx + x2 = 0 Solving 6 + ax + bx + x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + ax + bx + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + ax + bx + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + ax + bx + x2 = 0 + -6 ax + bx + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 ax + bx + x2 = -6 Add '-1bx' to each side of the equation. ax + bx + -1bx + x2 = -6 + -1bx Combine like terms: bx + -1bx = 0 ax + 0 + x2 = -6 + -1bx ax + x2 = -6 + -1bx Add '-1x2' to each side of the equation. ax + x2 + -1x2 = -6 + -1bx + -1x2 Combine like terms: x2 + -1x2 = 0 ax + 0 = -6 + -1bx + -1x2 ax = -6 + -1bx + -1x2 Divide each side by 'x'. a = -6x-1 + -1b + -1x Simplifying a = -6x-1 + -1b + -1x Reorder the terms: a = -1b + -6x-1 + -1x
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