What is the answer to 1/(4(2(x-1)+10))=x ?

The answer to 1/(4(2(x-1)+10))=x is x=(-8+sqrt(66))/4 ,x=-(8+sqrt(66))/4

Solve for x: 1/(4(2(x-1)+10))=x

The solution is x=(-8+sqrt(66))/4 ,x=-(8+sqrt(66))/4

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\frac{1}{4 ( 2 ( x - 1 ) + 10 )} = x

x = \frac{- 8 + 66}{4}, x = - \frac{8 + 66}{4}

Decimal Notation

x = 0.03100 \dots, x = - 4.03100 \dots

Solution steps

\frac{1}{4 ( 2 ( x - 1 ) + 10 )} = x

Simplify

\frac{1}{4 ( 2 ( x - 1 ) + 10 )} : \frac{1}{4 ( 2 x + 8 )}

\frac{1}{4 ( 2 x + 8 )} = x

Multiply both sides by

4 (2 x + 8)

1 = x \cdot 4 (2 x + 8)

Solve

1 = x \cdot 4 (2 x + 8) : x = \frac{- 8 + 66}{4}, x = - \frac{8 + 66}{4}

x = \frac{- 8 + 66}{4}, x = - \frac{8 + 66}{4}

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = \frac{- 8 + 66}{4}, x = - \frac{8 + 66}{4}

2 = \frac{x + 3}{x - 11}

\frac{180 ( n - 2 )}{n} = 160

d, \frac{20}{d} = - 15

\frac{180 ( n - 2 )}{n} = 120

x = \frac{∣ x - 7 ∣}{x - 7}

What is the answer to 1/(4(2(x-1)+10))=x ?
The answer to 1/(4(2(x-1)+10))=x is x=(-8+sqrt(66))/4 ,x=-(8+sqrt(66))/4
Solve for x: 1/(4(2(x-1)+10))=x
The solution is x=(-8+sqrt(66))/4 ,x=-(8+sqrt(66))/4