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Simplifying 5x2 + -8x + 120 = 0 Reorder the terms: 120 + -8x + 5x2 = 0 Solving 120 + -8x + 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'. 24 + -1.6x + x2 = 0 Move the constant term to the right: Add '-24' to each side of the equation. 24 + -1.6x + -24 + x2 = 0 + -24 Reorder the terms: 24 + -24 + -1.6x + x2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1.6x + x2 = 0 + -24 -1.6x + x2 = 0 + -24 Combine like terms: 0 + -24 = -24 -1.6x + x2 = -24 The x term is -1.6x. Take half its coefficient (-0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. -1.6x + 0.64 + x2 = -24 + 0.64 Reorder the terms: 0.64 + -1.6x + x2 = -24 + 0.64 Combine like terms: -24 + 0.64 = -23.36 0.64 + -1.6x + x2 = -23.36 Factor a perfect square on the left side: (x + -0.8)(x + -0.8) = -23.36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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