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Simplifying -149 = x2 + -24x Reorder the terms: -149 = -24x + x2 Solving -149 = -24x + x2 Solving for variable 'x'. Reorder the terms: -149 + 24x + -1x2 = -24x + 24x + x2 + -1x2 Combine like terms: -24x + 24x = 0 -149 + 24x + -1x2 = 0 + x2 + -1x2 -149 + 24x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -149 + 24x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 149 + -24x + x2 = 0 Move the constant term to the right: Add '-149' to each side of the equation. 149 + -24x + -149 + x2 = 0 + -149 Reorder the terms: 149 + -149 + -24x + x2 = 0 + -149 Combine like terms: 149 + -149 = 0 0 + -24x + x2 = 0 + -149 -24x + x2 = 0 + -149 Combine like terms: 0 + -149 = -149 -24x + x2 = -149 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 = -149 + 144 Reorder the terms: 144 + -24x + x2 = -149 + 144 Combine like terms: -149 + 144 = -5 144 + -24x + x2 = -5 Factor a perfect square on the left side: (x + -12)(x + -12) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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