5x^2-24x=-19

Solution for 5x^2-24x=-19 equation:

Simplifying
5x2 + -24x = -19

Reorder the terms:
-24x + 5x2 = -19

Solving
-24x + 5x2 = -19

Solving for variable 'x'.

Reorder the terms:
19 + -24x + 5x2 = -19 + 19

Combine like terms: -19 + 19 = 0
19 + -24x + 5x2 = 0

Factor a trinomial.
(1 + -1x)(19 + -5x) = 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 + -5x)' equal to zero and attempt to solve:

Simplifying
19 + -5x = 0

Solving
19 + -5x = 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 + -5x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -5x = 0 + -19
-5x = 0 + -19

Combine like terms: 0 + -19 = -19
-5x = -19

Divide each side by '-5'.
x = 3.8

Simplifying
x = 3.8
Solution
x = {1, 3.8}