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Simplifying x(x + 1) = 3x + -10 Reorder the terms: x(1 + x) = 3x + -10 (1 * x + x * x) = 3x + -10 (1x + x2) = 3x + -10 Reorder the terms: 1x + x2 = -10 + 3x Solving 1x + x2 = -10 + 3x Solving for variable 'x'. Reorder the terms: 10 + 1x + -3x + x2 = -10 + 3x + 10 + -3x Combine like terms: 1x + -3x = -2x 10 + -2x + x2 = -10 + 3x + 10 + -3x Reorder the terms: 10 + -2x + x2 = -10 + 10 + 3x + -3x Combine like terms: -10 + 10 = 0 10 + -2x + x2 = 0 + 3x + -3x 10 + -2x + x2 = 3x + -3x Combine like terms: 3x + -3x = 0 10 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + -2x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + -2x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2x + x2 = 0 + -10 -2x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -2x + x2 = -10 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -10 + 1 Reorder the terms: 1 + -2x + x2 = -10 + 1 Combine like terms: -10 + 1 = -9 1 + -2x + x2 = -9 Factor a perfect square on the left side: (x + -1)(x + -1) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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