Solve for b
b=-1
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\left(b-4\right)\left(-4\right)=\left(8b+10\right)\times 10
Variable b cannot be equal to any of the values -\frac{5}{4},4 since division by zero is not defined. Multiply both sides of the equation by 2\left(b-4\right)\left(4b+5\right), the least common multiple of 8b+10,b-4.
-4b+16=\left(8b+10\right)\times 10
Use the distributive property to multiply b-4 by -4.
-4b+16=80b+100
Use the distributive property to multiply 8b+10 by 10.
-4b+16-80b=100
Subtract 80b from both sides.
-84b+16=100
Combine -4b and -80b to get -84b.
-84b=100-16
Subtract 16 from both sides.
-84b=84
Subtract 16 from 100 to get 84.
b=\frac{84}{-84}
Divide both sides by -84.
b=-1
Divide 84 by -84 to get -1.
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