x^2+15x+56.25=30.25

Solution for x^2+15x+56.25=30.25 equation:

Simplifying
x2 + 15x + 56.25 = 30.25

Reorder the terms:
56.25 + 15x + x2 = 30.25

Solving
56.25 + 15x + x2 = 30.25

Solving for variable 'x'.

Reorder the terms:
56.25 + -30.25 + 15x + x2 = 30.25 + -30.25

Combine like terms: 56.25 + -30.25 = 26
26 + 15x + x2 = 30.25 + -30.25

Combine like terms: 30.25 + -30.25 = 0.00
26 + 15x + x2 = 0.00

Factor a trinomial.
(13 + x)(2 + x) = 0.00

Subproblem 1
Set the factor '(13 + x)' equal to zero and attempt to solve:

Simplifying
13 + x = 0

Solving
13 + x = 0

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

Add '-13' to each side of the equation.
13 + -13 + x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + x = 0 + -13
x = 0 + -13

Combine like terms: 0 + -13 = -13
x = -13

Simplifying
x = -13
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {-13, -2}