0=2x^2-7x+6

Solution for 0=2x^2-7x+6 equation:

Simplifying
0 = 2x2 + -7x + 6

Reorder the terms:
0 = 6 + -7x + 2x2

Solving
0 = 6 + -7x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -6 = -6
-6 + 7x + -2x2 = 6 + -7x + 2x2 + -6 + 7x + -2x2

Reorder the terms:
-6 + 7x + -2x2 = 6 + -6 + -7x + 7x + 2x2 + -2x2

Combine like terms: 6 + -6 = 0
-6 + 7x + -2x2 = 0 + -7x + 7x + 2x2 + -2x2
-6 + 7x + -2x2 = -7x + 7x + 2x2 + -2x2

Combine like terms: -7x + 7x = 0
-6 + 7x + -2x2 = 0 + 2x2 + -2x2
-6 + 7x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-6 + 7x + -2x2 = 0

Factor a trinomial.
(-2 + x)(3 + -2x) = 0

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

Simplifying
-2 + x = 0

Solving
-2 + x = 0

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

Add '2' to each side of the equation.
-2 + 2 + x = 0 + 2

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

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

Simplifying
x = 2
Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {2, 1.5}