5x^2-26x=-24

Solution for 5x^2-26x=-24 equation:

Simplifying
5x2 + -26x = -24

Reorder the terms:
-26x + 5x2 = -24

Solving
-26x + 5x2 = -24

Solving for variable 'x'.

Reorder the terms:
24 + -26x + 5x2 = -24 + 24

Combine like terms: -24 + 24 = 0
24 + -26x + 5x2 = 0

Factor a trinomial.
(6 + -5x)(4 + -1x) = 0

Subproblem 1
Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {1.2, 4}