64x=x^2+24x+144

Solution for 64x=x^2+24x+144 equation:

Simplifying
64x = x2 + 24x + 144

Reorder the terms:
64x = 144 + 24x + x2

Solving
64x = 144 + 24x + x2

Solving for variable 'x'.

Reorder the terms:
-144 + 64x + -24x + -1x2 = 144 + 24x + x2 + -144 + -24x + -1x2

Combine like terms: 64x + -24x = 40x
-144 + 40x + -1x2 = 144 + 24x + x2 + -144 + -24x + -1x2

Reorder the terms:
-144 + 40x + -1x2 = 144 + -144 + 24x + -24x + x2 + -1x2

Combine like terms: 144 + -144 = 0
-144 + 40x + -1x2 = 0 + 24x + -24x + x2 + -1x2
-144 + 40x + -1x2 = 24x + -24x + x2 + -1x2

Combine like terms: 24x + -24x = 0
-144 + 40x + -1x2 = 0 + x2 + -1x2
-144 + 40x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-144 + 40x + -1x2 = 0

Factor a trinomial.
(-36 + x)(4 + -1x) = 0

Subproblem 1
Set the factor '(-36 + x)' equal to zero and attempt to solve:

Simplifying
-36 + x = 0

Solving
-36 + x = 0

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

Add '36' to each side of the equation.
-36 + 36 + x = 0 + 36

Combine like terms: -36 + 36 = 0
0 + x = 0 + 36
x = 0 + 36

Combine like terms: 0 + 36 = 36
x = 36

Simplifying
x = 36
Subproblem 2
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
Solution
x = {36, 4}