34x^2+19x=15

Solution for 34x^2+19x=15 equation:

Simplifying
34x2 + 19x = 15

Reorder the terms:
19x + 34x2 = 15

Solving
19x + 34x2 = 15

Solving for variable 'x'.

Reorder the terms:
-15 + 19x + 34x2 = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + 19x + 34x2 = 0

Factor a trinomial.
(-1 + -1x)(15 + -34x) = 0

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1
Subproblem 2
Set the factor '(15 + -34x)' equal to zero and attempt to solve:

Simplifying
15 + -34x = 0

Solving
15 + -34x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -34x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -34x = 0 + -15
-34x = 0 + -15

Combine like terms: 0 + -15 = -15
-34x = -15

Divide each side by '-34'.
x = 0.4411764706

Simplifying
x = 0.4411764706
Solution
x = {-1, 0.4411764706}