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Simplifying 5x2 + -40x + 144 = 0 Reorder the terms: 144 + -40x + 5x2 = 0 Solving 144 + -40x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 28.8 + -8x + x2 = 0 Move the constant term to the right: Add '-28.8' to each side of the equation. 28.8 + -8x + -28.8 + x2 = 0 + -28.8 Reorder the terms: 28.8 + -28.8 + -8x + x2 = 0 + -28.8 Combine like terms: 28.8 + -28.8 = 0.0 0.0 + -8x + x2 = 0 + -28.8 -8x + x2 = 0 + -28.8 Combine like terms: 0 + -28.8 = -28.8 -8x + x2 = -28.8 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -28.8 + 16 Reorder the terms: 16 + -8x + x2 = -28.8 + 16 Combine like terms: -28.8 + 16 = -12.8 16 + -8x + x2 = -12.8 Factor a perfect square on the left side: (x + -4)(x + -4) = -12.8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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