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Simplifying 25x2 + -30x + 13 = 0 Reorder the terms: 13 + -30x + 25x2 = 0 Solving 13 + -30x + 25x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.52 + -1.2x + x2 = 0 Move the constant term to the right: Add '-0.52' to each side of the equation. 0.52 + -1.2x + -0.52 + x2 = 0 + -0.52 Reorder the terms: 0.52 + -0.52 + -1.2x + x2 = 0 + -0.52 Combine like terms: 0.52 + -0.52 = 0.00 0.00 + -1.2x + x2 = 0 + -0.52 -1.2x + x2 = 0 + -0.52 Combine like terms: 0 + -0.52 = -0.52 -1.2x + x2 = -0.52 The x term is -1.2x. Take half its coefficient (-0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. -1.2x + 0.36 + x2 = -0.52 + 0.36 Reorder the terms: 0.36 + -1.2x + x2 = -0.52 + 0.36 Combine like terms: -0.52 + 0.36 = -0.16 0.36 + -1.2x + x2 = -0.16 Factor a perfect square on the left side: (x + -0.6)(x + -0.6) = -0.16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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