Solve 0=49-(8^4-8)(4+x)

$$0 = 49 - ( 8 ^ { 4 } - 8 ) ( 4 + x )$$

Solve for x

$$x = -\frac{2329}{584} = -3\frac{577}{584} \approx -3.988013699$$

Steps for Solving Linear Equation

Calculate 8 to the power of 4 and get 4096.

$$0=49-\left(4096-8\right)\left(4+x\right)$$

Subtract 8 from 4096 to get 4088.

$$0=49-4088\left(4+x\right)$$

Use the distributive property to multiply -4088 by 4+x.

$$0=49-16352-4088x$$

Subtract 16352 from 49 to get -16303.

$$0=-16303-4088x$$

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

$$-16303-4088x=0$$

Add 16303 to both sides. Anything plus zero gives itself.

$$-4088x=16303$$

Divide both sides by -4088.

$$x=\frac{16303}{-4088}$$

Reduce the fraction \frac{16303}{-4088} to lowest terms by extracting and canceling out 7.

$$x=-\frac{2329}{584}$$