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Simplifying 2x + -25x2 = 14 Solving 2x + -25x2 = 14 Solving for variable 'x'. Reorder the terms: -14 + 2x + -25x2 = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + 2x + -25x2 = 0 Begin completing the square. Divide all terms by -25 the coefficient of the squared term: Divide each side by '-25'. 0.56 + -0.08x + x2 = 0 Move the constant term to the right: Add '-0.56' to each side of the equation. 0.56 + -0.08x + -0.56 + x2 = 0 + -0.56 Reorder the terms: 0.56 + -0.56 + -0.08x + x2 = 0 + -0.56 Combine like terms: 0.56 + -0.56 = 0.00 0.00 + -0.08x + x2 = 0 + -0.56 -0.08x + x2 = 0 + -0.56 Combine like terms: 0 + -0.56 = -0.56 -0.08x + x2 = -0.56 The x term is -0.08x. Take half its coefficient (-0.04). Square it (0.0016) and add it to both sides. Add '0.0016' to each side of the equation. -0.08x + 0.0016 + x2 = -0.56 + 0.0016 Reorder the terms: 0.0016 + -0.08x + x2 = -0.56 + 0.0016 Combine like terms: -0.56 + 0.0016 = -0.5584 0.0016 + -0.08x + x2 = -0.5584 Factor a perfect square on the left side: (x + -0.04)(x + -0.04) = -0.5584 Can't calculate square root of the right side. The solution to this equation could not be determined.
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