Solve (2a+175)2=75

$$( 2 a + 175 ) 2 = 75$$

Solve for a

$$a = -\frac{275}{4} = -68\frac{3}{4} = -68.75$$

Steps for Solving Linear Equation

Divide both sides by 2.

$$2a+175=\frac{75}{2}$$

Subtract 175 from both sides.

$$2a=\frac{75}{2}-175$$

Convert 175 to fraction \frac{350}{2}.

$$2a=\frac{75}{2}-\frac{350}{2}$$

Since \frac{75}{2} and \frac{350}{2} have the same denominator, subtract them by subtracting their numerators.

$$2a=\frac{75-350}{2}$$

Subtract 350 from 75 to get -275.

$$2a=-\frac{275}{2}$$

Divide both sides by 2.

$$a=\frac{-\frac{275}{2}}{2}$$

Express \frac{-\frac{275}{2}}{2} as a single fraction.

$$a=\frac{-275}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$a=\frac{-275}{4}$$

Fraction \frac{-275}{4} can be rewritten as -\frac{275}{4} by extracting the negative sign.

$$a=-\frac{275}{4}$$