Solve 5(x+1,5)^2-7=0

$$5 ( x + 1,5 ) ^ { 2 } - 7 = 0$$

Solve for x

$$x=\frac{\sqrt{35}}{5}-1,5\approx -0.316784043$$

$$x=-\frac{\sqrt{35}}{5}-1,5\approx -2.683215957$$

Steps by Finding Square Root

Add 7 to both sides of the equation.

$$5\left(x+1,5\right)^{2}-7+7=7$$

Subtracting 7 from itself leaves 0.

$$5\left(x+1,5\right)^{2}=7$$

Divide both sides by 5.

$$\frac{5\left(x+1,5\right)^{2}}{5}=\frac{7}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$\left(x+1,5\right)^{2}=\frac{7}{5}$$

Take the square root of both sides of the equation.

$$x+1,5=\frac{\sqrt{35}}{5} x+1,5=-\frac{\sqrt{35}}{5}$$

Subtract 1,5 from both sides of the equation.

$$x+1,5-1,5=\frac{\sqrt{35}}{5}-1,5 x+1,5-1,5=-\frac{\sqrt{35}}{5}-1,5$$

Subtracting 1,5 from itself leaves 0.

$$x=\frac{\sqrt{35}}{5}-1,5 x=-\frac{\sqrt{35}}{5}-1,5$$

Subtract 1,5 from \frac{\sqrt{35}}{5}.

$$x=\frac{\sqrt{35}}{5}-\frac{3}{2}$$

Subtract 1,5 from -\frac{\sqrt{35}}{5}.

$$x=-\frac{\sqrt{35}}{5}-\frac{3}{2}$$

The equation is now solved.

$$x=\frac{\sqrt{35}}{5}-\frac{3}{2} x=-\frac{\sqrt{35}}{5}-\frac{3}{2}$$