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Simplifying
4b2 + -53 = 11
Reorder the terms:
-53 + 4b2 = 11
Solving
-53 + 4b2 = 11
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '53' to each side of the equation.
-53 + 53 + 4b2 = 11 + 53
Combine like terms: -53 + 53 = 0
0 + 4b2 = 11 + 53
4b2 = 11 + 53
Combine like terms: 11 + 53 = 64
4b2 = 64
Divide each side by '4'.
b2 = 16
Simplifying
b2 = 16
Take the square root of each side:
b = {-4, 4}
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