Solve (2a+1.75)2=7.5

$$( 2 a + 1.75 ) 2 = 7.5$$

Solve for a

$$a=1$$

Steps for Solving Linear Equation

Divide both sides by 2.

$$2a+1.75=\frac{7.5}{2}$$

Expand \frac{7.5}{2} by multiplying both numerator and the denominator by 10.

$$2a+1.75=\frac{75}{20}$$

Reduce the fraction \frac{75}{20} to lowest terms by extracting and canceling out 5.

$$2a+1.75=\frac{15}{4}$$

Subtract 1.75 from both sides.

$$2a=\frac{15}{4}-1.75$$

Convert decimal number 1.75 to fraction \frac{175}{100}. Reduce the fraction \frac{175}{100} to lowest terms by extracting and canceling out 25.

$$2a=\frac{15}{4}-\frac{7}{4}$$

Since \frac{15}{4} and \frac{7}{4} have the same denominator, subtract them by subtracting their numerators.

$$2a=\frac{15-7}{4}$$

Subtract 7 from 15 to get 8.

$$2a=\frac{8}{4}$$

Divide 8 by 4 to get 2.

$$2a=2$$

Divide both sides by 2.

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

Divide 2 by 2 to get 1.

$$a=1$$