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Simplifying 2 = -10x + 25x2 + 20 Reorder the terms: 2 = 20 + -10x + 25x2 Solving 2 = 20 + -10x + 25x2 Solving for variable 'x'. Combine like terms: 2 + -20 = -18 -18 + 10x + -25x2 = 20 + -10x + 25x2 + -20 + 10x + -25x2 Reorder the terms: -18 + 10x + -25x2 = 20 + -20 + -10x + 10x + 25x2 + -25x2 Combine like terms: 20 + -20 = 0 -18 + 10x + -25x2 = 0 + -10x + 10x + 25x2 + -25x2 -18 + 10x + -25x2 = -10x + 10x + 25x2 + -25x2 Combine like terms: -10x + 10x = 0 -18 + 10x + -25x2 = 0 + 25x2 + -25x2 -18 + 10x + -25x2 = 25x2 + -25x2 Combine like terms: 25x2 + -25x2 = 0 -18 + 10x + -25x2 = 0 Begin completing the square. Divide all terms by -25 the coefficient of the squared term: Divide each side by '-25'. 0.72 + -0.4x + x2 = 0 Move the constant term to the right: Add '-0.72' to each side of the equation. 0.72 + -0.4x + -0.72 + x2 = 0 + -0.72 Reorder the terms: 0.72 + -0.72 + -0.4x + x2 = 0 + -0.72 Combine like terms: 0.72 + -0.72 = 0.00 0.00 + -0.4x + x2 = 0 + -0.72 -0.4x + x2 = 0 + -0.72 Combine like terms: 0 + -0.72 = -0.72 -0.4x + x2 = -0.72 The x term is -0.4x. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4x + 0.04 + x2 = -0.72 + 0.04 Reorder the terms: 0.04 + -0.4x + x2 = -0.72 + 0.04 Combine like terms: -0.72 + 0.04 = -0.68 0.04 + -0.4x + x2 = -0.68 Factor a perfect square on the left side: (x + -0.2)(x + -0.2) = -0.68 Can't calculate square root of the right side. The solution to this equation could not be determined.
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