x^2-3x-40=48

Solution for x^2-3x-40=48 equation:

Simplifying
x2 + -3x + -40 = 48

Reorder the terms:
-40 + -3x + x2 = 48

Solving
-40 + -3x + x2 = 48

Solving for variable 'x'.

Reorder the terms:
-40 + -48 + -3x + x2 = 48 + -48

Combine like terms: -40 + -48 = -88
-88 + -3x + x2 = 48 + -48

Combine like terms: 48 + -48 = 0
-88 + -3x + x2 = 0

Factor a trinomial.
(-8 + -1x)(11 + -1x) = 0

Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8
Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-8, 11}