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Simplifying x(x + 9) = 3(x + -6) Reorder the terms: x(9 + x) = 3(x + -6) (9 * x + x * x) = 3(x + -6) (9x + x2) = 3(x + -6) Reorder the terms: 9x + x2 = 3(-6 + x) 9x + x2 = (-6 * 3 + x * 3) 9x + x2 = (-18 + 3x) Solving 9x + x2 = -18 + 3x Solving for variable 'x'. Reorder the terms: 18 + 9x + -3x + x2 = -18 + 3x + 18 + -3x Combine like terms: 9x + -3x = 6x 18 + 6x + x2 = -18 + 3x + 18 + -3x Reorder the terms: 18 + 6x + x2 = -18 + 18 + 3x + -3x Combine like terms: -18 + 18 = 0 18 + 6x + x2 = 0 + 3x + -3x 18 + 6x + x2 = 3x + -3x Combine like terms: 3x + -3x = 0 18 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + 6x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + 6x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 6x + x2 = 0 + -18 6x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 6x + x2 = -18 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -18 + 9 Reorder the terms: 9 + 6x + x2 = -18 + 9 Combine like terms: -18 + 9 = -9 9 + 6x + x2 = -9 Factor a perfect square on the left side: (x + 3)(x + 3) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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