Solve x=5300/[frac{100{112}+(100/112)^2]}

$$x = \frac { 5300 } { [ \frac { 100 } { 112 } + ( \frac { 100 } { 112 } ) ^ { 2 } ] }$$

Solve for x

$$x=3136$$

Steps for Solving Linear Equation

Reduce the fraction \frac{100}{112} to lowest terms by extracting and canceling out 4.

$$x=\frac{5300}{\frac{25}{28}+\left(\frac{100}{112}\right)^{2}}$$

Reduce the fraction \frac{100}{112} to lowest terms by extracting and canceling out 4.

$$x=\frac{5300}{\frac{25}{28}+\left(\frac{25}{28}\right)^{2}}$$

Calculate \frac{25}{28} to the power of 2 and get \frac{625}{784}.

$$x=\frac{5300}{\frac{25}{28}+\frac{625}{784}}$$

Add \frac{25}{28} and \frac{625}{784} to get \frac{1325}{784}.

$$x=\frac{5300}{\frac{1325}{784}}$$

Divide 5300 by \frac{1325}{784} by multiplying 5300 by the reciprocal of \frac{1325}{784}.

$$x=5300\times \frac{784}{1325}$$

Multiply 5300 and \frac{784}{1325} to get 3136.

$$x=3136$$

Assign x

$$x≔3136$$