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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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