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Simplifying x(x + 3) + -2(x + -3) = 0 Reorder the terms: x(3 + x) + -2(x + -3) = 0 (3 * x + x * x) + -2(x + -3) = 0 (3x + x2) + -2(x + -3) = 0 Reorder the terms: 3x + x2 + -2(-3 + x) = 0 3x + x2 + (-3 * -2 + x * -2) = 0 3x + x2 + (6 + -2x) = 0 Reorder the terms: 6 + 3x + -2x + x2 = 0 Combine like terms: 3x + -2x = 1x 6 + 1x + x2 = 0 Solving 6 + 1x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-6' to each side of the equation. 6 + 1x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + 1x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 1x + x2 = 0 + -6 1x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 1x + x2 = -6 The x term is 1x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = -6 + 0.25 Reorder the terms: 0.25 + x + x2 = -6 + 0.25 Combine like terms: -6 + 0.25 = -5.75 0.25 + x + x2 = -5.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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