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Simplifying x2 + -24x + 144 = -81 Reorder the terms: 144 + -24x + x2 = -81 Solving 144 + -24x + x2 = -81 Solving for variable 'x'. Reorder the terms: 144 + 81 + -24x + x2 = -81 + 81 Combine like terms: 144 + 81 = 225 225 + -24x + x2 = -81 + 81 Combine like terms: -81 + 81 = 0 225 + -24x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-225' to each side of the equation. 225 + -24x + -225 + x2 = 0 + -225 Reorder the terms: 225 + -225 + -24x + x2 = 0 + -225 Combine like terms: 225 + -225 = 0 0 + -24x + x2 = 0 + -225 -24x + x2 = 0 + -225 Combine like terms: 0 + -225 = -225 -24x + x2 = -225 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 = -225 + 144 Reorder the terms: 144 + -24x + x2 = -225 + 144 Combine like terms: -225 + 144 = -81 144 + -24x + x2 = -81 Factor a perfect square on the left side: (x + -12)(x + -12) = -81 Can't calculate square root of the right side. The solution to this equation could not be determined.
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