84=25x+x^2

Solution for 84=25x+x^2 equation:

Simplifying
84 = 25x + x2

Solving
84 = 25x + x2

Solving for variable 'x'.

Reorder the terms:
84 + -25x + -1x2 = 25x + -25x + x2 + -1x2

Combine like terms: 25x + -25x = 0
84 + -25x + -1x2 = 0 + x2 + -1x2
84 + -25x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
84 + -25x + -1x2 = 0

Factor a trinomial.
(3 + -1x)(28 + x) = 0

Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
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
Solution
x = {3, -28}