10x^2-29x+19=0

Solution for 10x^2-29x+19=0 equation:

Simplifying
10x2 + -29x + 19 = 0

Reorder the terms:
19 + -29x + 10x2 = 0

Solving
19 + -29x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -1x)(19 + -10x) = 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 '(19 + -10x)' equal to zero and attempt to solve:

Simplifying
19 + -10x = 0

Solving
19 + -10x = 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 + -10x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -10x = 0 + -19
-10x = 0 + -19

Combine like terms: 0 + -19 = -19
-10x = -19

Divide each side by '-10'.
x = 1.9

Simplifying
x = 1.9
Solution
x = {1, 1.9}