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Simplifying
9b2 + -40 = 9 + 2b2
Reorder the terms:
-40 + 9b2 = 9 + 2b2
Solving
-40 + 9b2 = 9 + 2b2
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '-2b2' to each side of the equation.
-40 + 9b2 + -2b2 = 9 + 2b2 + -2b2
Combine like terms: 9b2 + -2b2 = 7b2
-40 + 7b2 = 9 + 2b2 + -2b2
Combine like terms: 2b2 + -2b2 = 0
-40 + 7b2 = 9 + 0
-40 + 7b2 = 9
Add '40' to each side of the equation.
-40 + 40 + 7b2 = 9 + 40
Combine like terms: -40 + 40 = 0
0 + 7b2 = 9 + 40
7b2 = 9 + 40
Combine like terms: 9 + 40 = 49
7b2 = 49
Divide each side by '7'.
b2 = 7
Simplifying
b2 = 7
Take the square root of each side:
b = {-2.645751311, 2.645751311}
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