2x^2-7x+12=6

Solution for 2x^2-7x+12=6 equation:

Simplifying
2x2 + -7x + 12 = 6

Reorder the terms:
12 + -7x + 2x2 = 6

Solving
12 + -7x + 2x2 = 6

Solving for variable 'x'.

Reorder the terms:
12 + -6 + -7x + 2x2 = 6 + -6

Combine like terms: 12 + -6 = 6
6 + -7x + 2x2 = 6 + -6

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

Factor a trinomial.
(3 + -2x)(2 + -1x) = 0

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

Simplifying
2 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 2

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