Solve F(x)=6xquadg(x)=3x^2quadtext{convalores}de(0,1,2)

$$F ( x ) = 6 x \quad g ( x ) = 3 x ^ { 2 } \quad \text { con valores } d e ( 0,1,2 )$$

Solve for g (complex solution)

$$\left\{\begin{matrix}\\g=\frac{1}{2}=0.5\text{, }&\text{unconditionally}\\g\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply x and x to get x^{2}.

$$6x^{2}g=3x^{2}$$

Divide both sides by 6x^{2}.

$$\frac{6x^{2}g}{6x^{2}}=\frac{3x^{2}}{6x^{2}}$$

Dividing by 6x^{2} undoes the multiplication by 6x^{2}.

$$g=\frac{3x^{2}}{6x^{2}}$$

Divide 3x^{2} by 6x^{2}.

$$g=\frac{1}{2}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&g=\frac{1}{2}\end{matrix}\right.$$

Steps by Finding Square Root

Multiply x and x to get x^{2}.

$$6x^{2}g=3x^{2}$$

Subtract 3x^{2} from both sides.

$$6x^{2}g-3x^{2}=0$$

Combine all terms containing x.

$$\left(6g-3\right)x^{2}=0$$

Dividing by 6g-3 undoes the multiplication by 6g-3.

$$x^{2}=\frac{0}{6g-3}$$

Divide 0 by 6g-3.

$$x^{2}=0$$

Take the square root of both sides of the equation.

$$x=0 x=0$$

The equation is now solved. Solutions are the same.

$$x=0$$

Steps Using the Quadratic Formula

Multiply x and x to get x^{2}.

$$6x^{2}g=3x^{2}$$

Subtract 3x^{2} from both sides.

$$6x^{2}g-3x^{2}=0$$

Combine all terms containing x.

$$\left(6g-3\right)x^{2}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 6g-3 for a, 0 for b, and 0 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}}}{2\left(6g-3\right)}$$

Take the square root of 0^{2}.

$$x=\frac{0±0}{2\left(6g-3\right)}$$

Multiply 2 times 6g-3.

$$x=\frac{0}{12g-6}$$

Divide 0 by -6+12g.

$$x=0$$

Solve for g

$$\left\{\begin{matrix}\\g=\frac{1}{2}=0.5\text{, }&\text{unconditionally}\\g\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply x and x to get x^{2}.

$$6x^{2}g=3x^{2}$$

Divide both sides by 6x^{2}.

$$\frac{6x^{2}g}{6x^{2}}=\frac{3x^{2}}{6x^{2}}$$

Dividing by 6x^{2} undoes the multiplication by 6x^{2}.

$$g=\frac{3x^{2}}{6x^{2}}$$

Divide 3x^{2} by 6x^{2}.

$$g=\frac{1}{2}$$

Solve for x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&g=\frac{1}{2}\end{matrix}\right.$$