(5x+20)(3x+66)=

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Solution for (5x+20)(3x+66)= equation: 


Simplifying
(5x + 20)(3x + 66) = 0

Reorder the terms:
(20 + 5x)(3x + 66) = 0

Reorder the terms:
(20 + 5x)(66 + 3x) = 0

Multiply (20 + 5x) * (66 + 3x)
(20(66 + 3x) + 5x * (66 + 3x)) = 0
((66 * 20 + 3x * 20) + 5x * (66 + 3x)) = 0
((1320 + 60x) + 5x * (66 + 3x)) = 0
(1320 + 60x + (66 * 5x + 3x * 5x)) = 0
(1320 + 60x + (330x + 15x2)) = 0

Combine like terms: 60x + 330x = 390x
(1320 + 390x + 15x2) = 0

Solving
1320 + 390x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '15'.
15(88 + 26x + x2) = 0

Factor a trinomial.
15((22 + x)(4 + x)) = 0

Ignore the factor 15.

Subproblem 1
Set the factor '(22 + x)' equal to zero and attempt to solve:

Simplifying
22 + x = 0

Solving
22 + x = 0

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

Add '-22' to each side of the equation.
22 + -22 + x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + x = 0 + -22
x = 0 + -22

Combine like terms: 0 + -22 = -22
x = -22

Simplifying
x = -22

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

Simplifying
4 + x = 0

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

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

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

Simplifying
x = -4
Solution
x = {-22, -4}

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