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Simplifying x(x + -5) = -10.5 Reorder the terms: x(-5 + x) = -10.5 (-5 * x + x * x) = -10.5 (-5x + x2) = -10.5 Solving -5x + x2 = -10.5 Solving for variable 'x'. Reorder the terms: 10.5 + -5x + x2 = -10.5 + 10.5 Combine like terms: -10.5 + 10.5 = 0.0 10.5 + -5x + x2 = 0.0 Begin completing the square. Move the constant term to the right: Add '-10.5' to each side of the equation. 10.5 + -5x + -10.5 + x2 = 0.0 + -10.5 Reorder the terms: 10.5 + -10.5 + -5x + x2 = 0.0 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + -5x + x2 = 0.0 + -10.5 -5x + x2 = 0.0 + -10.5 Combine like terms: 0.0 + -10.5 = -10.5 -5x + x2 = -10.5 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -10.5 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -10.5 + 6.25 Combine like terms: -10.5 + 6.25 = -4.25 6.25 + -5x + x2 = -4.25 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -4.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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