(-4x^2+5x-6)+(3x^2-5x+7)=

Solution for (-4x^2+5x-6)+(3x^2-5x+7)= equation:

Simplifying
(-4x2 + 5x + -6) + (3x2 + -5x + 7) = 0

Reorder the terms:
(-6 + 5x + -4x2) + (3x2 + -5x + 7) = 0

Remove parenthesis around (-6 + 5x + -4x2)
-6 + 5x + -4x2 + (3x2 + -5x + 7) = 0

Reorder the terms:
-6 + 5x + -4x2 + (7 + -5x + 3x2) = 0

Remove parenthesis around (7 + -5x + 3x2)
-6 + 5x + -4x2 + 7 + -5x + 3x2 = 0

Reorder the terms:
-6 + 7 + 5x + -5x + -4x2 + 3x2 = 0

Combine like terms: -6 + 7 = 1
1 + 5x + -5x + -4x2 + 3x2 = 0

Combine like terms: 5x + -5x = 0
1 + 0 + -4x2 + 3x2 = 0
1 + -4x2 + 3x2 = 0

Combine like terms: -4x2 + 3x2 = -1x2
1 + -1x2 = 0

Solving
1 + -1x2 = 0

Solving for variable 'x'.

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

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

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

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

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

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}