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Simplifying 5x2 + -4x + 82 = 10 Reorder the terms: 82 + -4x + 5x2 = 10 Solving 82 + -4x + 5x2 = 10 Solving for variable 'x'. Reorder the terms: 82 + -10 + -4x + 5x2 = 10 + -10 Combine like terms: 82 + -10 = 72 72 + -4x + 5x2 = 10 + -10 Combine like terms: 10 + -10 = 0 72 + -4x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 14.4 + -0.8x + x2 = 0 Move the constant term to the right: Add '-14.4' to each side of the equation. 14.4 + -0.8x + -14.4 + x2 = 0 + -14.4 Reorder the terms: 14.4 + -14.4 + -0.8x + x2 = 0 + -14.4 Combine like terms: 14.4 + -14.4 = 0.0 0.0 + -0.8x + x2 = 0 + -14.4 -0.8x + x2 = 0 + -14.4 Combine like terms: 0 + -14.4 = -14.4 -0.8x + x2 = -14.4 The x term is -0.8x. Take half its coefficient (-0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. -0.8x + 0.16 + x2 = -14.4 + 0.16 Reorder the terms: 0.16 + -0.8x + x2 = -14.4 + 0.16 Combine like terms: -14.4 + 0.16 = -14.24 0.16 + -0.8x + x2 = -14.24 Factor a perfect square on the left side: (x + -0.4)(x + -0.4) = -14.24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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