(4x^2-8x+6)-(2x^2-x+3)=

Solution for (4x^2-8x+6)-(2x^2-x+3)= equation:

Simplifying
(4x2 + -8x + 6) + -1(2x2 + -1x + 3) = 0

Reorder the terms:
(6 + -8x + 4x2) + -1(2x2 + -1x + 3) = 0

Remove parenthesis around (6 + -8x + 4x2)
6 + -8x + 4x2 + -1(2x2 + -1x + 3) = 0

Reorder the terms:
6 + -8x + 4x2 + -1(3 + -1x + 2x2) = 0
6 + -8x + 4x2 + (3 * -1 + -1x * -1 + 2x2 * -1) = 0
6 + -8x + 4x2 + (-3 + 1x + -2x2) = 0

Reorder the terms:
6 + -3 + -8x + 1x + 4x2 + -2x2 = 0

Combine like terms: 6 + -3 = 3
3 + -8x + 1x + 4x2 + -2x2 = 0

Combine like terms: -8x + 1x = -7x
3 + -7x + 4x2 + -2x2 = 0

Combine like terms: 4x2 + -2x2 = 2x2
3 + -7x + 2x2 = 0

Solving
3 + -7x + 2x2 = 0

Solving for variable 'x'.

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

Subproblem 1
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
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {0.5, 3}