540x+6480-540x=12x^2+144x

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Solution for 540x+6480-540x=12x^2+144x equation: 


Simplifying
540x + 6480 + -540x = 12x2 + 144x

Reorder the terms:
6480 + 540x + -540x = 12x2 + 144x

Combine like terms: 540x + -540x = 0
6480 + 0 = 12x2 + 144x
6480 = 12x2 + 144x

Reorder the terms:
6480 = 144x + 12x2

Solving
6480 = 144x + 12x2

Solving for variable 'x'.

Reorder the terms:
6480 + -144x + -12x2 = 144x + -144x + 12x2 + -12x2

Combine like terms: 144x + -144x = 0
6480 + -144x + -12x2 = 0 + 12x2 + -12x2
6480 + -144x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
6480 + -144x + -12x2 = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(540 + -12x + -1x2) = 0

Factor a trinomial.
12((18 + -1x)(30 + x)) = 0

Ignore the factor 12.

Subproblem 1
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

Subproblem 2
Set the factor '(30 + x)' equal to zero and attempt to solve:

Simplifying
30 + x = 0

Solving
30 + x = 0

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

Add '-30' to each side of the equation.
30 + -30 + x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + x = 0 + -30
x = 0 + -30

Combine like terms: 0 + -30 = -30
x = -30

Simplifying
x = -30
Solution
x = {18, -30}

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