Solve (2x+3/4)^2=49/25

$$( 2 x + \frac { 3 } { 4 } ) ^ { 2 } = \frac { 49 } { 25 }$$

Solve for x

$$x=\frac{13}{40}=0.325$$

$$x = -\frac{43}{40} = -1\frac{3}{40} = -1.075$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$2x+\frac{3}{4}=\frac{7}{5} 2x+\frac{3}{4}=-\frac{7}{5}$$

Subtract \frac{3}{4} from both sides of the equation.

$$2x+\frac{3}{4}-\frac{3}{4}=\frac{7}{5}-\frac{3}{4} 2x+\frac{3}{4}-\frac{3}{4}=-\frac{7}{5}-\frac{3}{4}$$

Subtracting \frac{3}{4} from itself leaves 0.

$$2x=\frac{7}{5}-\frac{3}{4} 2x=-\frac{7}{5}-\frac{3}{4}$$

Subtract \frac{3}{4} from \frac{7}{5} by finding a common denominator and subtracting the numerators. Then reduce the fraction to lowest terms if possible.

$$2x=\frac{13}{20}$$

Subtract \frac{3}{4} from -\frac{7}{5} by finding a common denominator and subtracting the numerators. Then reduce the fraction to lowest terms if possible.

$$2x=-\frac{43}{20}$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{\frac{13}{20}}{2} \frac{2x}{2}=-\frac{\frac{43}{20}}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{\frac{13}{20}}{2} x=-\frac{\frac{43}{20}}{2}$$

Divide \frac{13}{20} by 2.

$$x=\frac{13}{40}$$

Divide -\frac{43}{20} by 2.

$$x=-\frac{43}{40}$$

The equation is now solved.

$$x=\frac{13}{40} x=-\frac{43}{40}$$