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Simplifying x2 + -24x + 160 = 0 Reorder the terms: 160 + -24x + x2 = 0 Solving 160 + -24x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-160' to each side of the equation. 160 + -24x + -160 + x2 = 0 + -160 Reorder the terms: 160 + -160 + -24x + x2 = 0 + -160 Combine like terms: 160 + -160 = 0 0 + -24x + x2 = 0 + -160 -24x + x2 = 0 + -160 Combine like terms: 0 + -160 = -160 -24x + x2 = -160 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 = -160 + 144 Reorder the terms: 144 + -24x + x2 = -160 + 144 Combine like terms: -160 + 144 = -16 144 + -24x + x2 = -16 Factor a perfect square on the left side: (x + -12)(x + -12) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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