Solve 314*xdiv3(20^2+12^2+20*12)=123088

$$314 \times x \div 3( { 20 }^{ 2 } + { 12 }^{ 2 } +20 \times 12)=123088$$

Solve for x

$$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$314x\left(20^{2}+12^{2}+20\times 12\right)=369264$$

Calculate 20 to the power of 2 and get 400.

$$314x\left(400+12^{2}+20\times 12\right)=369264$$

Calculate 12 to the power of 2 and get 144.

$$314x\left(400+144+20\times 12\right)=369264$$

Add 400 and 144 to get 544.

$$314x\left(544+20\times 12\right)=369264$$

Multiply 20 and 12 to get 240.

$$314x\left(544+240\right)=369264$$

Add 544 and 240 to get 784.

$$314x\times 784=369264$$

Multiply 314 and 784 to get 246176.

$$246176x=369264$$

Divide both sides by 246176.

$$x=\frac{369264}{246176}$$

Reduce the fraction \frac{369264}{246176} to lowest terms by extracting and canceling out 123088.

$$x=\frac{3}{2}$$