3x^2+10+15x+20=180

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Solution for 3x^2+10+15x+20=180 equation: 


Simplifying
3x2 + 10 + 15x + 20 = 180

Reorder the terms:
10 + 20 + 15x + 3x2 = 180

Combine like terms: 10 + 20 = 30
30 + 15x + 3x2 = 180

Solving
30 + 15x + 3x2 = 180

Solving for variable 'x'.

Reorder the terms:
30 + -180 + 15x + 3x2 = 180 + -180

Combine like terms: 30 + -180 = -150
-150 + 15x + 3x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-150 + 15x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-50 + 5x + x2) = 0

Factor a trinomial.
3((-10 + -1x)(5 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-10, 5}

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