Solve 5^2=4^2+6^2-2*4*6x

$$5 ^ { 2 } = 4 ^ { 2 } + 6 ^ { 2 } - 2 \times 4 \times 6 x$$

Solve for x

$$x=\frac{9}{16}=0.5625$$

Steps for Solving Linear Equation

Calculate 5 to the power of 2 and get 25.

$$25=4^{2}+6^{2}-2\times 4\times 6x$$

Calculate 4 to the power of 2 and get 16.

$$25=16+6^{2}-2\times 4\times 6x$$

Calculate 6 to the power of 2 and get 36.

$$25=16+36-2\times 4\times 6x$$

Add 16 and 36 to get 52.

$$25=52-2\times 4\times 6x$$

Multiply 2 and 4 to get 8.

$$25=52-8\times 6x$$

Multiply 8 and 6 to get 48.

$$25=52-48x$$

Swap sides so that all variable terms are on the left hand side.

$$52-48x=25$$

Subtract 52 from both sides.

$$-48x=25-52$$

Subtract 52 from 25 to get -27.

$$-48x=-27$$

Divide both sides by -48.

$$x=\frac{-27}{-48}$$

Reduce the fraction \frac{-27}{-48} to lowest terms by extracting and canceling out -3.

$$x=\frac{9}{16}$$