Solve (4x+1)(16x^2-4x+1)-16x(4x^2-5)=17

$$( 4 x + 1 ) ( 16 x ^ { 2 } - 4 x + 1 ) - 16 x ( 4 x ^ { 2 } - 5 ) = 17$$

Solve for x

$$x=\frac{1}{5}=0.2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4x+1 by 16x^{2}-4x+1 and combine like terms.

$$64x^{3}+1-16x\left(4x^{2}-5\right)=17$$

Use the distributive property to multiply -16x by 4x^{2}-5.

$$64x^{3}+1-64x^{3}+80x=17$$

Combine 64x^{3} and -64x^{3} to get 0.

$$1+80x=17$$

Subtract 1 from both sides.

$$80x=17-1$$

Subtract 1 from 17 to get 16.

$$80x=16$$

Divide both sides by 80.

$$x=\frac{16}{80}$$

Reduce the fraction \frac{16}{80} to lowest terms by extracting and canceling out 16.

$$x=\frac{1}{5}$$