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Simplifying 5x + -1 = 25x2 Reorder the terms: -1 + 5x = 25x2 Solving -1 + 5x = 25x2 Solving for variable 'x'. Combine like terms: 25x2 + -25x2 = 0 -1 + 5x + -25x2 = 0 Begin completing the square. Divide all terms by -25 the coefficient of the squared term: Divide each side by '-25'. 0.04 + -0.2x + x2 = 0 Move the constant term to the right: Add '-0.04' to each side of the equation. 0.04 + -0.2x + -0.04 + x2 = 0 + -0.04 Reorder the terms: 0.04 + -0.04 + -0.2x + x2 = 0 + -0.04 Combine like terms: 0.04 + -0.04 = 0.00 0.00 + -0.2x + x2 = 0 + -0.04 -0.2x + x2 = 0 + -0.04 Combine like terms: 0 + -0.04 = -0.04 -0.2x + x2 = -0.04 The x term is -0.2x. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2x + 0.01 + x2 = -0.04 + 0.01 Reorder the terms: 0.01 + -0.2x + x2 = -0.04 + 0.01 Combine like terms: -0.04 + 0.01 = -0.03 0.01 + -0.2x + x2 = -0.03 Factor a perfect square on the left side: (x + -0.1)(x + -0.1) = -0.03 Can't calculate square root of the right side. The solution to this equation could not be determined.
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