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Simplifying n * n + 0.6 = n + 0.1 * 2n Multiply n * n n2 + 0.6 = n + 0.1 * 2n Reorder the terms: 0.6 + n2 = n + 0.1 * 2n Multiply 0.1 * 2 0.6 + n2 = n + 0.2n Combine like terms: n + 0.2n = 1.2n 0.6 + n2 = 1.2n Solving 0.6 + n2 = 1.2n Solving for variable 'n'. Reorder the terms: 0.6 + -1.2n + n2 = 1.2n + -1.2n Combine like terms: 1.2n + -1.2n = 0.0 0.6 + -1.2n + n2 = 0.0 Begin completing the square. Move the constant term to the right: Add '-0.6' to each side of the equation. 0.6 + -1.2n + -0.6 + n2 = 0.0 + -0.6 Reorder the terms: 0.6 + -0.6 + -1.2n + n2 = 0.0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -1.2n + n2 = 0.0 + -0.6 -1.2n + n2 = 0.0 + -0.6 Combine like terms: 0.0 + -0.6 = -0.6 -1.2n + n2 = -0.6 The n term is -1.2n. 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. -1.2n + 0.36 + n2 = -0.6 + 0.36 Reorder the terms: 0.36 + -1.2n + n2 = -0.6 + 0.36 Combine like terms: -0.6 + 0.36 = -0.24 0.36 + -1.2n + n2 = -0.24 Factor a perfect square on the left side: (n + -0.6)(n + -0.6) = -0.24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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