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Simplifying x2 + (q + -3) * x + 9 = 0 Reorder the terms: x2 + (-3 + q) * x + 9 = 0 Reorder the terms for easier multiplication: x2 + x(-3 + q) + 9 = 0 x2 + (-3 * x + q * x) + 9 = 0 Reorder the terms: x2 + (qx + -3x) + 9 = 0 x2 + (qx + -3x) + 9 = 0 Reorder the terms: 9 + qx + -3x + x2 = 0 Solving 9 + qx + -3x + x2 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + qx + -3x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + qx + -3x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + qx + -3x + x2 = 0 + -9 qx + -3x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 qx + -3x + x2 = -9 Add '3x' to each side of the equation. qx + -3x + 3x + x2 = -9 + 3x Combine like terms: -3x + 3x = 0 qx + 0 + x2 = -9 + 3x qx + x2 = -9 + 3x Add '-1x2' to each side of the equation. qx + x2 + -1x2 = -9 + 3x + -1x2 Combine like terms: x2 + -1x2 = 0 qx + 0 = -9 + 3x + -1x2 qx = -9 + 3x + -1x2 Divide each side by 'x'. q = -9x-1 + 3 + -1x Simplifying q = -9x-1 + 3 + -1x Reorder the terms: q = 3 + -9x-1 + -1x
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