-x^2-47x+48=

Solution for -x^2-47x+48= equation:

Simplifying
-1x2 + -47x + 48 = 0

Reorder the terms:
48 + -47x + -1x2 = 0

Solving
48 + -47x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -1x)(48 + x) = 0

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Subproblem 2
Set the factor '(48 + x)' equal to zero and attempt to solve:

Simplifying
48 + x = 0

Solving
48 + x = 0

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

Add '-48' to each side of the equation.
48 + -48 + x = 0 + -48

Combine like terms: 48 + -48 = 0
0 + x = 0 + -48
x = 0 + -48

Combine like terms: 0 + -48 = -48
x = -48

Simplifying
x = -48
Solution
x = {1, -48}