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Simplifying n * n = n + -132 Multiply n * n n2 = n + -132 Reorder the terms: n2 = -132 + n Solving n2 = -132 + n Solving for variable 'n'. Reorder the terms: 132 + -1n + n2 = -132 + n + 132 + -1n Reorder the terms: 132 + -1n + n2 = -132 + 132 + n + -1n Combine like terms: -132 + 132 = 0 132 + -1n + n2 = 0 + n + -1n 132 + -1n + n2 = n + -1n Combine like terms: n + -1n = 0 132 + -1n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-132' to each side of the equation. 132 + -1n + -132 + n2 = 0 + -132 Reorder the terms: 132 + -132 + -1n + n2 = 0 + -132 Combine like terms: 132 + -132 = 0 0 + -1n + n2 = 0 + -132 -1n + n2 = 0 + -132 Combine like terms: 0 + -132 = -132 -1n + n2 = -132 The n term is -1n. 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. -1n + 0.25 + n2 = -132 + 0.25 Reorder the terms: 0.25 + -1n + n2 = -132 + 0.25 Combine like terms: -132 + 0.25 = -131.75 0.25 + -1n + n2 = -131.75 Factor a perfect square on the left side: (n + -0.5)(n + -0.5) = -131.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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