Solve (-3)^2+(3)^2+0(-3)+varepsilon(3)+F=0

$$( - 3 ) ^ { 2 } + ( 3 ) ^ { 2 } + 0 ( - 3 ) + \varepsilon ( 3 ) + F = 0$$

Solve for F

$$F=-3\epsilon -18$$

Solution Steps

Calculate -3 to the power of 2 and get 9.

$$9+3^{2}+0\left(-3\right)+\epsilon \times 3+F=0$$

Calculate 3 to the power of 2 and get 9.

$$9+9+0\left(-3\right)+\epsilon \times 3+F=0$$

Add 9 and 9 to get 18.

$$18+0\left(-3\right)+\epsilon \times 3+F=0$$

Multiply 0 and -3 to get 0.

$$18+0+\epsilon \times 3+F=0$$

Add 18 and 0 to get 18.

$$18+\epsilon \times 3+F=0$$

Subtract 18 from both sides. Anything subtracted from zero gives its negation.

$$\epsilon \times 3+F=-18$$

Subtract \epsilon \times 3 from both sides.

$$F=-18-\epsilon \times 3$$

Multiply -1 and 3 to get -3.

$$F=-18-3\epsilon$$

Solve for ε

$$\epsilon =-\frac{F}{3}-6$$

Steps for Solving Linear Equation

Calculate -3 to the power of 2 and get 9.

$$9+3^{2}+0\left(-3\right)+\epsilon \times 3+F=0$$

Calculate 3 to the power of 2 and get 9.

$$9+9+0\left(-3\right)+\epsilon \times 3+F=0$$

Add 9 and 9 to get 18.

$$18+0\left(-3\right)+\epsilon \times 3+F=0$$

Multiply 0 and -3 to get 0.

$$18+0+\epsilon \times 3+F=0$$

Add 18 and 0 to get 18.

$$18+\epsilon \times 3+F=0$$

Subtract 18 from both sides. Anything subtracted from zero gives its negation.

$$\epsilon \times 3+F=-18$$

Subtract F from both sides.

$$\epsilon \times 3=-18-F$$

The equation is in standard form.

$$3\epsilon =-F-18$$

Divide both sides by 3.

$$\frac{3\epsilon }{3}=\frac{-F-18}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$\epsilon =\frac{-F-18}{3}$$

Divide -18-F by 3.

$$\epsilon =-\frac{F}{3}-6$$