=(18x+24)(x-18)

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Solution for =(18x+24)(x-18) equation: 


Simplifying
0 = (18x + 24)(x + -18)

Reorder the terms:
0 = (24 + 18x)(x + -18)

Reorder the terms:
0 = (24 + 18x)(-18 + x)

Multiply (24 + 18x) * (-18 + x)
0 = (24(-18 + x) + 18x * (-18 + x))
0 = ((-18 * 24 + x * 24) + 18x * (-18 + x))
0 = ((-432 + 24x) + 18x * (-18 + x))
0 = (-432 + 24x + (-18 * 18x + x * 18x))
0 = (-432 + 24x + (-324x + 18x2))

Combine like terms: 24x + -324x = -300x
0 = (-432 + -300x + 18x2)

Solving
0 = -432 + -300x + 18x2

Solving for variable 'x'.

Combine like terms: 0 + 432 = 432
432 + 300x + -18x2 = -432 + -300x + 18x2 + 432 + 300x + -18x2

Reorder the terms:
432 + 300x + -18x2 = -432 + 432 + -300x + 300x + 18x2 + -18x2

Combine like terms: -432 + 432 = 0
432 + 300x + -18x2 = 0 + -300x + 300x + 18x2 + -18x2
432 + 300x + -18x2 = -300x + 300x + 18x2 + -18x2

Combine like terms: -300x + 300x = 0
432 + 300x + -18x2 = 0 + 18x2 + -18x2
432 + 300x + -18x2 = 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
432 + 300x + -18x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(72 + 50x + -3x2) = 0

Factor a trinomial.
6((18 + -1x)(4 + 3x)) = 0

Ignore the factor 6.

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 '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 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 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333
Solution
x = {18, -1.333333333}

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