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Simplifying
6b2 + -96 + -7 = 0
Reorder the terms:
-96 + -7 + 6b2 = 0
Combine like terms: -96 + -7 = -103
-103 + 6b2 = 0
Solving
-103 + 6b2 = 0
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '103' to each side of the equation.
-103 + 103 + 6b2 = 0 + 103
Combine like terms: -103 + 103 = 0
0 + 6b2 = 0 + 103
6b2 = 0 + 103
Combine like terms: 0 + 103 = 103
6b2 = 103
Divide each side by '6'.
b2 = 17.16666667
Simplifying
b2 = 17.16666667
Take the square root of each side:
b = {-4.143267632, 4.143267632}
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