# Solve for B -2 square root of 7B-14-16=-18

-27B-14-16=-18
Move all terms not containing 7B-14 to the right side of the equation.
Add 16 to both sides of the equation.
-27B-14=-18+16
Add -18 and 16.
-27B-14=-2
-27B-14=-2
Divide each term by -2 and simplify.
Divide each term in -27B-14=-2 by -2.
-27B-14-2=-2-2
Cancel the common factor of -2.
Cancel the common factor.
-27B-14-2=-2-2
Divide 7B-14 by 1.
7B-14=-2-2
7B-14=-2-2
Divide -2 by -2.
7B-14=1
7B-14=1
To remove the radical on the left side of the equation, square both sides of the equation.
7B-142=12
Simplify each side of the equation.
Multiply the exponents in ((7B-14)12)2.
Apply the power rule and multiply exponents, (am)n=amn.
(7B-14)12⋅2=12
Cancel the common factor of 2.
Cancel the common factor.
(7B-14)12⋅2=12
Rewrite the expression.
(7B-14)1=12
(7B-14)1=12
(7B-14)1=12
Simplify.
7B-14=12
One to any power is one.
7B-14=1
7B-14=1
Solve for B.
Move all terms not containing B to the right side of the equation.
Add 14 to both sides of the equation.
7B=1+14
Add 1 and 14.
7B=15
7B=15
Divide each term by 7 and simplify.
Divide each term in 7B=15 by 7.
7B7=157
Cancel the common factor of 7.
Cancel the common factor.
7B7=157
Divide B by 1.
B=157
B=157
B=157
B=157
The result can be shown in multiple forms.
Exact Form:
B=157
Decimal Form:
B=2.142857‾
Mixed Number Form:
B=217
Solve for B -2 square root of 7B-14-16=-18

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