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Simplifying 25x2 + 25x = -12 Reorder the terms: 25x + 25x2 = -12 Solving 25x + 25x2 = -12 Solving for variable 'x'. Reorder the terms: 12 + 25x + 25x2 = -12 + 12 Combine like terms: -12 + 12 = 0 12 + 25x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.48 + x + x2 = 0 Move the constant term to the right: Add '-0.48' to each side of the equation. 0.48 + x + -0.48 + x2 = 0 + -0.48 Reorder the terms: 0.48 + -0.48 + x + x2 = 0 + -0.48 Combine like terms: 0.48 + -0.48 = 0.00 0.00 + x + x2 = 0 + -0.48 x + x2 = 0 + -0.48 Combine like terms: 0 + -0.48 = -0.48 x + x2 = -0.48 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = -0.48 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = -0.48 + 0.25 Combine like terms: -0.48 + 0.25 = -0.23 1.25 + x2 = -0.23 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.23 Can't calculate square root of the right side. The solution to this equation could not be determined.
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