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Simplifying 0 = x2 + -32x + 756 Reorder the terms: 0 = 756 + -32x + x2 Solving 0 = 756 + -32x + x2 Solving for variable 'x'. Combine like terms: 0 + -756 = -756 -756 + 32x + -1x2 = 756 + -32x + x2 + -756 + 32x + -1x2 Reorder the terms: -756 + 32x + -1x2 = 756 + -756 + -32x + 32x + x2 + -1x2 Combine like terms: 756 + -756 = 0 -756 + 32x + -1x2 = 0 + -32x + 32x + x2 + -1x2 -756 + 32x + -1x2 = -32x + 32x + x2 + -1x2 Combine like terms: -32x + 32x = 0 -756 + 32x + -1x2 = 0 + x2 + -1x2 -756 + 32x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -756 + 32x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 756 + -32x + x2 = 0 Move the constant term to the right: Add '-756' to each side of the equation. 756 + -32x + -756 + x2 = 0 + -756 Reorder the terms: 756 + -756 + -32x + x2 = 0 + -756 Combine like terms: 756 + -756 = 0 0 + -32x + x2 = 0 + -756 -32x + x2 = 0 + -756 Combine like terms: 0 + -756 = -756 -32x + x2 = -756 The x term is -32x. Take half its coefficient (-16). Square it (256) and add it to both sides. Add '256' to each side of the equation. -32x + 256 + x2 = -756 + 256 Reorder the terms: 256 + -32x + x2 = -756 + 256 Combine like terms: -756 + 256 = -500 256 + -32x + x2 = -500 Factor a perfect square on the left side: (x + -16)(x + -16) = -500 Can't calculate square root of the right side. The solution to this equation could not be determined.
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