297=x^2+24x

Solution for 297=x^2+24x equation:

Simplifying
297 = x2 + 24x

Reorder the terms:
297 = 24x + x2

Solving
297 = 24x + x2

Solving for variable 'x'.

Reorder the terms:
297 + -24x + -1x2 = 24x + -24x + x2 + -1x2

Combine like terms: 24x + -24x = 0
297 + -24x + -1x2 = 0 + x2 + -1x2
297 + -24x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
297 + -24x + -1x2 = 0

Factor a trinomial.
(9 + -1x)(33 + x) = 0

Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Subproblem 2
Set the factor '(33 + x)' equal to zero and attempt to solve:

Simplifying
33 + x = 0

Solving
33 + x = 0

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

Add '-33' to each side of the equation.
33 + -33 + x = 0 + -33

Combine like terms: 33 + -33 = 0
0 + x = 0 + -33
x = 0 + -33

Combine like terms: 0 + -33 = -33
x = -33

Simplifying
x = -33
Solution
x = {9, -33}