=(5x+18)(x-3)

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Solution for =(5x+18)(x-3) equation: 


Simplifying
0 = (5x + 18)(x + -3)

Reorder the terms:
0 = (18 + 5x)(x + -3)

Reorder the terms:
0 = (18 + 5x)(-3 + x)

Multiply (18 + 5x) * (-3 + x)
0 = (18(-3 + x) + 5x * (-3 + x))
0 = ((-3 * 18 + x * 18) + 5x * (-3 + x))
0 = ((-54 + 18x) + 5x * (-3 + x))
0 = (-54 + 18x + (-3 * 5x + x * 5x))
0 = (-54 + 18x + (-15x + 5x2))

Combine like terms: 18x + -15x = 3x
0 = (-54 + 3x + 5x2)

Solving
0 = -54 + 3x + 5x2

Solving for variable 'x'.

Combine like terms: 0 + 54 = 54
54 + -3x + -5x2 = -54 + 3x + 5x2 + 54 + -3x + -5x2

Reorder the terms:
54 + -3x + -5x2 = -54 + 54 + 3x + -3x + 5x2 + -5x2

Combine like terms: -54 + 54 = 0
54 + -3x + -5x2 = 0 + 3x + -3x + 5x2 + -5x2
54 + -3x + -5x2 = 3x + -3x + 5x2 + -5x2

Combine like terms: 3x + -3x = 0
54 + -3x + -5x2 = 0 + 5x2 + -5x2
54 + -3x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
54 + -3x + -5x2 = 0

Factor a trinomial.
(3 + -1x)(18 + 5x) = 0


Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 2
Set the factor '(18 + 5x)' equal to zero and attempt to solve:

Simplifying
18 + 5x = 0

Solving
18 + 5x = 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 + 5x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 5x = 0 + -18
5x = 0 + -18

Combine like terms: 0 + -18 = -18
5x = -18

Divide each side by '5'.
x = -3.6

Simplifying
x = -3.6
Solution
x = {3, -3.6}

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