x2-38=-78

Add 38 to both sides of the equation.

x2=-78+38

Combine the numerators over the common denominator.

x2=-7+38

Add -7 and 3.

x2=-48

Cancel the common factor of -4 and 8.

Factor 4 out of -4.

x2=4(-1)8

Cancel the common factors.

Factor 4 out of 8.

x2=4⋅-14⋅2

Cancel the common factor.

x2=4⋅-14⋅2

Rewrite the expression.

x2=-12

x2=-12

x2=-12

Move the negative in front of the fraction.

x2=-12

x2=-12

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

x=-1

Solve for x x/2-3/8=-7/8