30x-x^2=56

Solution for 30x-x^2=56 equation:

Simplifying
30x + -1x2 = 56

Solving
30x + -1x2 = 56

Solving for variable 'x'.

Reorder the terms:
-56 + 30x + -1x2 = 56 + -56

Combine like terms: 56 + -56 = 0
-56 + 30x + -1x2 = 0

Factor a trinomial.
(-28 + x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-28 + x)' equal to zero and attempt to solve:

Simplifying
-28 + x = 0

Solving
-28 + x = 0

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

Add '28' to each side of the equation.
-28 + 28 + x = 0 + 28

Combine like terms: -28 + 28 = 0
0 + x = 0 + 28
x = 0 + 28

Combine like terms: 0 + 28 = 28
x = 28

Simplifying
x = 28
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {28, 2}