25x^2-30x=72

Solution for 25x^2-30x=72 equation:

Simplifying
25x2 + -30x = 72

Reorder the terms:
-30x + 25x2 = 72

Solving
-30x + 25x2 = 72

Solving for variable 'x'.

Reorder the terms:
-72 + -30x + 25x2 = 72 + -72

Combine like terms: 72 + -72 = 0
-72 + -30x + 25x2 = 0

Factor a trinomial.
(-6 + -5x)(12 + -5x) = 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 '(12 + -5x)' equal to zero and attempt to solve:

Simplifying
12 + -5x = 0

Solving
12 + -5x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -5x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = 0 + -12
-5x = 0 + -12

Combine like terms: 0 + -12 = -12
-5x = -12

Divide each side by '-5'.
x = 2.4

Simplifying
x = 2.4
Solution
x = {-1.2, 2.4}