3x^2+18x+34=7

Solution for 3x^2+18x+34=7 equation:

Simplifying
3x2 + 18x + 34 = 7

Reorder the terms:
34 + 18x + 3x2 = 7

Solving
34 + 18x + 3x2 = 7

Solving for variable 'x'.

Reorder the terms:
34 + -7 + 18x + 3x2 = 7 + -7

Combine like terms: 34 + -7 = 27
27 + 18x + 3x2 = 7 + -7

Combine like terms: 7 + -7 = 0
27 + 18x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(9 + 6x + x2) = 0

Factor a trinomial.
3((3 + x)(3 + x)) = 0

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

Simplifying
3 + x = 0

Solving
3 + x = 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 + x = 0 + -3

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

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

Simplifying
x = -3
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 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 + x = 0 + -3

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

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

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