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Simplifying x(x + 2) = 3(x + -5) Reorder the terms: x(2 + x) = 3(x + -5) (2 * x + x * x) = 3(x + -5) (2x + x2) = 3(x + -5) Reorder the terms: 2x + x2 = 3(-5 + x) 2x + x2 = (-5 * 3 + x * 3) 2x + x2 = (-15 + 3x) Solving 2x + x2 = -15 + 3x Solving for variable 'x'. Reorder the terms: 15 + 2x + -3x + x2 = -15 + 3x + 15 + -3x Combine like terms: 2x + -3x = -1x 15 + -1x + x2 = -15 + 3x + 15 + -3x Reorder the terms: 15 + -1x + x2 = -15 + 15 + 3x + -3x Combine like terms: -15 + 15 = 0 15 + -1x + x2 = 0 + 3x + -3x 15 + -1x + x2 = 3x + -3x Combine like terms: 3x + -3x = 0 15 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + -1x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + -1x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x + x2 = 0 + -15 -1x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 -1x + x2 = -15 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. -1x + 0.25 + x2 = -15 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -15 + 0.25 Combine like terms: -15 + 0.25 = -14.75 0.25 + -1x + x2 = -14.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -14.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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