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Simplifying x2 + -10x = -37 Reorder the terms: -10x + x2 = -37 Solving -10x + x2 = -37 Solving for variable 'x'. Reorder the terms: 37 + -10x + x2 = -37 + 37 Combine like terms: -37 + 37 = 0 37 + -10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-37' to each side of the equation. 37 + -10x + -37 + x2 = 0 + -37 Reorder the terms: 37 + -37 + -10x + x2 = 0 + -37 Combine like terms: 37 + -37 = 0 0 + -10x + x2 = 0 + -37 -10x + x2 = 0 + -37 Combine like terms: 0 + -37 = -37 -10x + x2 = -37 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -37 + 25 Reorder the terms: 25 + -10x + x2 = -37 + 25 Combine like terms: -37 + 25 = -12 25 + -10x + x2 = -12 Factor a perfect square on the left side: (x + -5)(x + -5) = -12 Can't calculate square root of the right side. The solution to this equation could not be determined.
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