0=15x^2+182x+551

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Solution for 0=15x^2+182x+551 equation: 


Simplifying
0 = 15x2 + 182x + 551

Reorder the terms:
0 = 551 + 182x + 15x2

Solving
0 = 551 + 182x + 15x2

Solving for variable 'x'.

Combine like terms: 0 + -551 = -551
-551 + -182x + -15x2 = 551 + 182x + 15x2 + -551 + -182x + -15x2

Reorder the terms:
-551 + -182x + -15x2 = 551 + -551 + 182x + -182x + 15x2 + -15x2

Combine like terms: 551 + -551 = 0
-551 + -182x + -15x2 = 0 + 182x + -182x + 15x2 + -15x2
-551 + -182x + -15x2 = 182x + -182x + 15x2 + -15x2

Combine like terms: 182x + -182x = 0
-551 + -182x + -15x2 = 0 + 15x2 + -15x2
-551 + -182x + -15x2 = 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
-551 + -182x + -15x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(551 + 182x + 15x2) = 0

Factor a trinomial.
-1((19 + 3x)(29 + 5x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(19 + 3x)' equal to zero and attempt to solve:

Simplifying
19 + 3x = 0

Solving
19 + 3x = 0

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

Add '-19' to each side of the equation.
19 + -19 + 3x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 3x = 0 + -19
3x = 0 + -19

Combine like terms: 0 + -19 = -19
3x = -19

Divide each side by '3'.
x = -6.333333333

Simplifying
x = -6.333333333

Subproblem 2
Set the factor '(29 + 5x)' equal to zero and attempt to solve:

Simplifying
29 + 5x = 0

Solving
29 + 5x = 0

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

Add '-29' to each side of the equation.
29 + -29 + 5x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 5x = 0 + -29
5x = 0 + -29

Combine like terms: 0 + -29 = -29
5x = -29

Divide each side by '5'.
x = -5.8

Simplifying
x = -5.8
Solution
x = {-6.333333333, -5.8}

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