(5x+27)(3x+17)=0

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Solution for (5x+27)(3x+17)=0 equation: 


Simplifying
(5x + 27)(3x + 17) = 0

Reorder the terms:
(27 + 5x)(3x + 17) = 0

Reorder the terms:
(27 + 5x)(17 + 3x) = 0

Multiply (27 + 5x) * (17 + 3x)
(27(17 + 3x) + 5x * (17 + 3x)) = 0
((17 * 27 + 3x * 27) + 5x * (17 + 3x)) = 0
((459 + 81x) + 5x * (17 + 3x)) = 0
(459 + 81x + (17 * 5x + 3x * 5x)) = 0
(459 + 81x + (85x + 15x2)) = 0

Combine like terms: 81x + 85x = 166x
(459 + 166x + 15x2) = 0

Solving
459 + 166x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(17 + 3x)(27 + 5x) = 0


Subproblem 1
Set the factor '(17 + 3x)' equal to zero and attempt to solve:

Simplifying
17 + 3x = 0

Solving
17 + 3x = 0

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

Add '-17' to each side of the equation.
17 + -17 + 3x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 3x = 0 + -17
3x = 0 + -17

Combine like terms: 0 + -17 = -17
3x = -17

Divide each side by '3'.
x = -5.666666667

Simplifying
x = -5.666666667

Subproblem 2
Set the factor '(27 + 5x)' equal to zero and attempt to solve:

Simplifying
27 + 5x = 0

Solving
27 + 5x = 0

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

Add '-27' to each side of the equation.
27 + -27 + 5x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 5x = 0 + -27
5x = 0 + -27

Combine like terms: 0 + -27 = -27
5x = -27

Divide each side by '5'.
x = -5.4

Simplifying
x = -5.4
Solution
x = {-5.666666667, -5.4}

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