Solve x=1/2(2+2*cos(72))

$$x= \frac{ 1 }{ 2 } (2+2 \times \cos ( 72 ) )$$

Solve for x

$$x=1.30901699437494745$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$x = \frac{1}{2} {(2 + 2 \cdot 0.30901699437494745)}$$

Multiply 2 and 0.30901699437494745 to get 0.6180339887498949.

$$x=\frac{1}{2}\left(2+0.6180339887498949\right)$$

Add 2 and 0.6180339887498949 to get 2.6180339887498949.

$$x=\frac{1}{2}\times 2.6180339887498949$$

Convert decimal number 2.6180339887498949 to fraction \frac{26180339887498949}{10000000000}. Reduce the fraction \frac{26180339887498949}{10000000000} to lowest terms by extracting and canceling out 1.

$$x=\frac{1}{2}\times \frac{26180339887498949}{10000000000000000}$$

Multiply \frac{1}{2} times \frac{26180339887498949}{10000000000000000} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 26180339887498949}{2\times 10000000000000000}$$

Do the multiplications in the fraction \frac{1\times 26180339887498949}{2\times 10000000000000000}.

$$x=\frac{26180339887498949}{20000000000000000}$$

Assign x

$$x≔1.30901699437494745$$