x^2+x^2+18x-16x+64+81=7225

Solution for x^2+x^2+18x-16x+64+81=7225 equation:

Simplifying
x2 + x2 + 18x + -16x + 64 + 81 = 7225

Reorder the terms:
64 + 81 + 18x + -16x + x2 + x2 = 7225

Combine like terms: 64 + 81 = 145
145 + 18x + -16x + x2 + x2 = 7225

Combine like terms: 18x + -16x = 2x
145 + 2x + x2 + x2 = 7225

Combine like terms: x2 + x2 = 2x2
145 + 2x + 2x2 = 7225

Solving
145 + 2x + 2x2 = 7225

Solving for variable 'x'.

Reorder the terms:
145 + -7225 + 2x + 2x2 = 7225 + -7225

Combine like terms: 145 + -7225 = -7080
-7080 + 2x + 2x2 = 7225 + -7225

Combine like terms: 7225 + -7225 = 0
-7080 + 2x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3540 + x + x2) = 0

Factor a trinomial.
2((-60 + -1x)(59 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-60 + -1x)' equal to zero and attempt to solve:

Simplifying
-60 + -1x = 0

Solving
-60 + -1x = 0

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

Add '60' to each side of the equation.
-60 + 60 + -1x = 0 + 60

Combine like terms: -60 + 60 = 0
0 + -1x = 0 + 60
-1x = 0 + 60

Combine like terms: 0 + 60 = 60
-1x = 60

Divide each side by '-1'.
x = -60

Simplifying
x = -60
Subproblem 2
Set the factor '(59 + -1x)' equal to zero and attempt to solve:

Simplifying
59 + -1x = 0

Solving
59 + -1x = 0

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

Add '-59' to each side of the equation.
59 + -59 + -1x = 0 + -59

Combine like terms: 59 + -59 = 0
0 + -1x = 0 + -59
-1x = 0 + -59

Combine like terms: 0 + -59 = -59
-1x = -59

Divide each side by '-1'.
x = 59

Simplifying
x = 59
Solution
x = {-60, 59}