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Simplifying x2 + -24x = -200 Reorder the terms: -24x + x2 = -200 Solving -24x + x2 = -200 Solving for variable 'x'. Reorder the terms: 200 + -24x + x2 = -200 + 200 Combine like terms: -200 + 200 = 0 200 + -24x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-200' to each side of the equation. 200 + -24x + -200 + x2 = 0 + -200 Reorder the terms: 200 + -200 + -24x + x2 = 0 + -200 Combine like terms: 200 + -200 = 0 0 + -24x + x2 = 0 + -200 -24x + x2 = 0 + -200 Combine like terms: 0 + -200 = -200 -24x + x2 = -200 The x term is -24x. Take half its coefficient (-12). Square it (144) and add it to both sides. Add '144' to each side of the equation. -24x + 144 + x2 = -200 + 144 Reorder the terms: 144 + -24x + x2 = -200 + 144 Combine like terms: -200 + 144 = -56 144 + -24x + x2 = -56 Factor a perfect square on the left side: (x + -12)(x + -12) = -56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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