-19x^2+49x-30=0

Solution for -19x^2+49x-30=0 equation:

Simplifying
-19x2 + 49x + -30 = 0

Reorder the terms:
-30 + 49x + -19x2 = 0

Solving
-30 + 49x + -19x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-30 + 19x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-30 + 19x)' equal to zero and attempt to solve:

Simplifying
-30 + 19x = 0

Solving
-30 + 19x = 0

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

Add '30' to each side of the equation.
-30 + 30 + 19x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 19x = 0 + 30
19x = 0 + 30

Combine like terms: 0 + 30 = 30
19x = 30

Divide each side by '19'.
x = 1.578947368

Simplifying
x = 1.578947368
Subproblem 2
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
Solution
x = {1.578947368, 1}