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Simplifying (x2 + 6x + 9) + 2(x + 3) + -1x(x + 3) = 0 Reorder the terms: (9 + 6x + x2) + 2(x + 3) + -1x(x + 3) = 0 Remove parenthesis around (9 + 6x + x2) 9 + 6x + x2 + 2(x + 3) + -1x(x + 3) = 0 Reorder the terms: 9 + 6x + x2 + 2(3 + x) + -1x(x + 3) = 0 9 + 6x + x2 + (3 * 2 + x * 2) + -1x(x + 3) = 0 9 + 6x + x2 + (6 + 2x) + -1x(x + 3) = 0 Reorder the terms: 9 + 6x + x2 + 6 + 2x + -1x(3 + x) = 0 9 + 6x + x2 + 6 + 2x + (3 * -1x + x * -1x) = 0 9 + 6x + x2 + 6 + 2x + (-3x + -1x2) = 0 Reorder the terms: 9 + 6 + 6x + 2x + -3x + x2 + -1x2 = 0 Combine like terms: 9 + 6 = 15 15 + 6x + 2x + -3x + x2 + -1x2 = 0 Combine like terms: 6x + 2x = 8x 15 + 8x + -3x + x2 + -1x2 = 0 Combine like terms: 8x + -3x = 5x 15 + 5x + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 15 + 5x + 0 = 0 15 + 5x = 0 Solving 15 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 5x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 0 + -15 5x = 0 + -15 Combine like terms: 0 + -15 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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