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Simplifying 0 = (10x + -1n)(n + 10x) Reorder the terms: 0 = (-1n + 10x)(n + 10x) Multiply (-1n + 10x) * (n + 10x) 0 = (-1n * (n + 10x) + 10x * (n + 10x)) 0 = ((n * -1n + 10x * -1n) + 10x * (n + 10x)) Reorder the terms: 0 = ((-10nx + -1n2) + 10x * (n + 10x)) 0 = ((-10nx + -1n2) + 10x * (n + 10x)) 0 = (-10nx + -1n2 + (n * 10x + 10x * 10x)) 0 = (-10nx + -1n2 + (10nx + 100x2)) Reorder the terms: 0 = (-10nx + 10nx + -1n2 + 100x2) Combine like terms: -10nx + 10nx = 0 0 = (0 + -1n2 + 100x2) 0 = (-1n2 + 100x2) Solving 0 = -1n2 + 100x2 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n2' to each side of the equation. 0 + n2 = -1n2 + n2 + 100x2 Remove the zero: n2 = -1n2 + n2 + 100x2 Combine like terms: -1n2 + n2 = 0 n2 = 0 + 100x2 n2 = 100x2 Simplifying n2 = 100x2 Take the square root of each side: n = {-10x, 10x}
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