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Simplifying
100 = b2 * 81
Reorder the terms for easier multiplication:
100 = 81b2
Solving
100 = 81b2
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '-81b2' to each side of the equation.
100 + -81b2 = 81b2 + -81b2
Combine like terms: 81b2 + -81b2 = 0
100 + -81b2 = 0
Add '-100' to each side of the equation.
100 + -100 + -81b2 = 0 + -100
Combine like terms: 100 + -100 = 0
0 + -81b2 = 0 + -100
-81b2 = 0 + -100
Combine like terms: 0 + -100 = -100
-81b2 = -100
Divide each side by '-81'.
b2 = 1.234567901
Simplifying
b2 = 1.234567901
Take the square root of each side:
b = {-1.111111111, 1.111111111}
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