144=2x^2+72+x+36

Solution for 144=2x^2+72+x+36 equation:

Simplifying
144 = 2x2 + 72 + x + 36

Reorder the terms:
144 = 72 + 36 + x + 2x2

Combine like terms: 72 + 36 = 108
144 = 108 + x + 2x2

Solving
144 = 108 + x + 2x2

Solving for variable 'x'.

Combine like terms: 144 + -108 = 36
36 + -1x + -2x2 = 108 + x + 2x2 + -108 + -1x + -2x2

Reorder the terms:
36 + -1x + -2x2 = 108 + -108 + x + -1x + 2x2 + -2x2

Combine like terms: 108 + -108 = 0
36 + -1x + -2x2 = 0 + x + -1x + 2x2 + -2x2
36 + -1x + -2x2 = x + -1x + 2x2 + -2x2

Combine like terms: x + -1x = 0
36 + -1x + -2x2 = 0 + 2x2 + -2x2
36 + -1x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
36 + -1x + -2x2 = 0

Factor a trinomial.
(4 + -1x)(9 + 2x) = 0

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
Set the factor '(9 + 2x)' equal to zero and attempt to solve:

Simplifying
9 + 2x = 0

Solving
9 + 2x = 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 + 2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 0 + -9
2x = 0 + -9

Combine like terms: 0 + -9 = -9
2x = -9

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5
Solution
x = {4, -4.5}