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Simplifying 0.25x2 + -4x + 52 = 0 Reorder the terms: 52 + -4x + 0.25x2 = 0 Solving 52 + -4x + 0.25x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.25 the coefficient of the squared term: Divide each side by '0.25'. 208 + -16x + x2 = 0 Move the constant term to the right: Add '-208' to each side of the equation. 208 + -16x + -208 + x2 = 0 + -208 Reorder the terms: 208 + -208 + -16x + x2 = 0 + -208 Combine like terms: 208 + -208 = 0 0 + -16x + x2 = 0 + -208 -16x + x2 = 0 + -208 Combine like terms: 0 + -208 = -208 -16x + x2 = -208 The x term is -16x. Take half its coefficient (-8). Square it (64) and add it to both sides. Add '64' to each side of the equation. -16x + 64 + x2 = -208 + 64 Reorder the terms: 64 + -16x + x2 = -208 + 64 Combine like terms: -208 + 64 = -144 64 + -16x + x2 = -144 Factor a perfect square on the left side: (x + -8)(x + -8) = -144 Can't calculate square root of the right side. The solution to this equation could not be determined.
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