Solve -f(x)=4x^2+4^2+2x+5-4x^2+5

$$- f ( x ) = 4 x ^ { 2 } + 4 ^ { 2 } + 2 x + 5 - 4 x ^ { 2 } + 5$$

Solve for f

$$f=-2-\frac{26}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Calculate 4 to the power of 2 and get 16.

$$\left(-f\right)x=4x^{2}+16+2x+5-4x^{2}+5$$

Add 16 and 5 to get 21.

$$\left(-f\right)x=4x^{2}+21+2x-4x^{2}+5$$

Combine 4x^{2} and -4x^{2} to get 0.

$$\left(-f\right)x=21+2x+5$$

Add 21 and 5 to get 26.

$$\left(-f\right)x=26+2x$$

Reorder the terms.

$$-fx=2x+26$$

The equation is in standard form.

$$\left(-x\right)f=2x+26$$

Divide both sides by -x.

$$\frac{\left(-x\right)f}{-x}=\frac{2x+26}{-x}$$

Dividing by -x undoes the multiplication by -x.

$$f=\frac{2x+26}{-x}$$

Divide 26+2x by -x.

$$f=-2-\frac{26}{x}$$

Solve for x

$$x=-\frac{26}{f+2}$$

$$f\neq -2$$

Steps for Solving Linear Equation

Calculate 4 to the power of 2 and get 16.

$$\left(-f\right)x=4x^{2}+16+2x+5-4x^{2}+5$$

Add 16 and 5 to get 21.

$$\left(-f\right)x=4x^{2}+21+2x-4x^{2}+5$$

Combine 4x^{2} and -4x^{2} to get 0.

$$\left(-f\right)x=21+2x+5$$

Add 21 and 5 to get 26.

$$\left(-f\right)x=26+2x$$

Subtract 2x from both sides.

$$\left(-f\right)x-2x=26$$

Reorder the terms.

$$-fx-2x=26$$

Combine all terms containing x.

$$\left(-f-2\right)x=26$$

Divide both sides by -f-2.

$$\frac{\left(-f-2\right)x}{-f-2}=\frac{26}{-f-2}$$

Dividing by -f-2 undoes the multiplication by -f-2.

$$x=\frac{26}{-f-2}$$

Divide 26 by -f-2.

$$x=-\frac{26}{f+2}$$