(4x^2+5y+6)-(6x^2+3y+8)=

Solution for (4x^2+5y+6)-(6x^2+3y+8)= equation:

Simplifying
(4x2 + 5y + 6) + -1(6x2 + 3y + 8) = 0

Reorder the terms:
(6 + 4x2 + 5y) + -1(6x2 + 3y + 8) = 0

Remove parenthesis around (6 + 4x2 + 5y)
6 + 4x2 + 5y + -1(6x2 + 3y + 8) = 0

Reorder the terms:
6 + 4x2 + 5y + -1(8 + 6x2 + 3y) = 0
6 + 4x2 + 5y + (8 * -1 + 6x2 * -1 + 3y * -1) = 0
6 + 4x2 + 5y + (-8 + -6x2 + -3y) = 0

Reorder the terms:
6 + -8 + 4x2 + -6x2 + 5y + -3y = 0

Combine like terms: 6 + -8 = -2
-2 + 4x2 + -6x2 + 5y + -3y = 0

Combine like terms: 4x2 + -6x2 = -2x2
-2 + -2x2 + 5y + -3y = 0

Combine like terms: 5y + -3y = 2y
-2 + -2x2 + 2y = 0

Solving
-2 + -2x2 + 2y = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + -2x2 + 2 + 2y = 0 + 2

Reorder the terms:
-2 + 2 + -2x2 + 2y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -2x2 + 2y = 0 + 2
-2x2 + 2y = 0 + 2

Combine like terms: 0 + 2 = 2
-2x2 + 2y = 2

Add '-2y' to each side of the equation.
-2x2 + 2y + -2y = 2 + -2y

Combine like terms: 2y + -2y = 0
-2x2 + 0 = 2 + -2y
-2x2 = 2 + -2y

Divide each side by '-2'.
x2 = -1 + y

Simplifying
x2 = -1 + y

Reorder the terms:
1 + x2 + -1y = -1 + y + 1 + -1y

Reorder the terms:
1 + x2 + -1y = -1 + 1 + y + -1y

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

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

The solution to this equation could not be determined.