2x^2-10x+11x+7=(2x^2+hx+3)+k

Solution for 2x^2-10x+11x+7=(2x^2+hx+3)+k equation:

Simplifying
2x2 + -10x + 11x + 7 = (2x2 + hx + 3) + k

Reorder the terms:
7 + -10x + 11x + 2x2 = (2x2 + hx + 3) + k

Combine like terms: -10x + 11x = 1x
7 + 1x + 2x2 = (2x2 + hx + 3) + k

Reorder the terms:
7 + 1x + 2x2 = (3 + hx + 2x2) + k

Remove parenthesis around (3 + hx + 2x2)
7 + 1x + 2x2 = 3 + hx + 2x2 + k

Reorder the terms:
7 + 1x + 2x2 = 3 + hx + k + 2x2

Add '-2x2' to each side of the equation.
7 + 1x + 2x2 + -2x2 = 3 + hx + k + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
7 + 1x + 0 = 3 + hx + k + 2x2 + -2x2
7 + 1x = 3 + hx + k + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
7 + 1x = 3 + hx + k + 0
7 + 1x = 3 + hx + k

Solving
7 + 1x = 3 + hx + k

Solving for variable 'x'.

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

Add '-1hx' to each side of the equation.
7 + -1hx + 1x = 3 + hx + -1hx + k

Combine like terms: hx + -1hx = 0
7 + -1hx + 1x = 3 + 0 + k
7 + -1hx + 1x = 3 + k

Add '-7' to each side of the equation.
7 + -1hx + -7 + 1x = 3 + -7 + k

Reorder the terms:
7 + -7 + -1hx + 1x = 3 + -7 + k

Combine like terms: 7 + -7 = 0
0 + -1hx + 1x = 3 + -7 + k
-1hx + 1x = 3 + -7 + k

Combine like terms: 3 + -7 = -4
-1hx + 1x = -4 + k

Reorder the terms:
4 + -1hx + -1k + 1x = -4 + k + 4 + -1k

Reorder the terms:
4 + -1hx + -1k + 1x = -4 + 4 + k + -1k

Combine like terms: -4 + 4 = 0
4 + -1hx + -1k + 1x = 0 + k + -1k
4 + -1hx + -1k + 1x = k + -1k

Combine like terms: k + -1k = 0
4 + -1hx + -1k + 1x = 0

The solution to this equation could not be determined.