(2x^2-7x+6)+(-3x^2+7x)=

Solution for (2x^2-7x+6)+(-3x^2+7x)= equation:

Simplifying
(2x2 + -7x + 6) + (-3x2 + 7x) = 0

Reorder the terms:
(6 + -7x + 2x2) + (-3x2 + 7x) = 0

Remove parenthesis around (6 + -7x + 2x2)
6 + -7x + 2x2 + (-3x2 + 7x) = 0

Reorder the terms:
6 + -7x + 2x2 + (7x + -3x2) = 0

Remove parenthesis around (7x + -3x2)
6 + -7x + 2x2 + 7x + -3x2 = 0

Reorder the terms:
6 + -7x + 7x + 2x2 + -3x2 = 0

Combine like terms: -7x + 7x = 0
6 + 0 + 2x2 + -3x2 = 0
6 + 2x2 + -3x2 = 0

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

Solving
6 + -1x2 = 0

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -1x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x2 = 0 + -6
-1x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-1x2 = -6

Divide each side by '-1'.
x2 = 6

Simplifying
x2 = 6

Take the square root of each side:
x = {-2.449489743, 2.449489743}