0=2x^2-25x+12

Solution for 0=2x^2-25x+12 equation:

Simplifying
0 = 2x2 + -25x + 12

Reorder the terms:
0 = 12 + -25x + 2x2

Solving
0 = 12 + -25x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -12 = -12
-12 + 25x + -2x2 = 12 + -25x + 2x2 + -12 + 25x + -2x2

Reorder the terms:
-12 + 25x + -2x2 = 12 + -12 + -25x + 25x + 2x2 + -2x2

Combine like terms: 12 + -12 = 0
-12 + 25x + -2x2 = 0 + -25x + 25x + 2x2 + -2x2
-12 + 25x + -2x2 = -25x + 25x + 2x2 + -2x2

Combine like terms: -25x + 25x = 0
-12 + 25x + -2x2 = 0 + 2x2 + -2x2
-12 + 25x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-12 + 25x + -2x2 = 0

Factor a trinomial.
(-12 + x)(1 + -2x) = 0

Subproblem 1
Set the factor '(-12 + x)' equal to zero and attempt to solve:

Simplifying
-12 + x = 0

Solving
-12 + x = 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 + x = 0 + 12

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

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

Simplifying
x = 12
Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {12, 0.5}