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Simplifying x2 + -10x = -36 Reorder the terms: -10x + x2 = -36 Solving -10x + x2 = -36 Solving for variable 'x'. Reorder the terms: 36 + -10x + x2 = -36 + 36 Combine like terms: -36 + 36 = 0 36 + -10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-36' to each side of the equation. 36 + -10x + -36 + x2 = 0 + -36 Reorder the terms: 36 + -36 + -10x + x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -10x + x2 = 0 + -36 -10x + x2 = 0 + -36 Combine like terms: 0 + -36 = -36 -10x + x2 = -36 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 = -36 + 25 Reorder the terms: 25 + -10x + x2 = -36 + 25 Combine like terms: -36 + 25 = -11 25 + -10x + x2 = -11 Factor a perfect square on the left side: (x + -5)(x + -5) = -11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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