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Simplifying x2 + -24x = -313 Reorder the terms: -24x + x2 = -313 Solving -24x + x2 = -313 Solving for variable 'x'. Reorder the terms: 313 + -24x + x2 = -313 + 313 Combine like terms: -313 + 313 = 0 313 + -24x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-313' to each side of the equation. 313 + -24x + -313 + x2 = 0 + -313 Reorder the terms: 313 + -313 + -24x + x2 = 0 + -313 Combine like terms: 313 + -313 = 0 0 + -24x + x2 = 0 + -313 -24x + x2 = 0 + -313 Combine like terms: 0 + -313 = -313 -24x + x2 = -313 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 = -313 + 144 Reorder the terms: 144 + -24x + x2 = -313 + 144 Combine like terms: -313 + 144 = -169 144 + -24x + x2 = -169 Factor a perfect square on the left side: (x + -12)(x + -12) = -169 Can't calculate square root of the right side. The solution to this equation could not be determined.
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