(H^2+4h-4)+(5h^2-8h+2)=6h^2-4h-2

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Solution for (H^2+4h-4)+(5h^2-8h+2)=6h^2-4h-2 equation: 


Simplifying
(H2 + 4h + -4) + (5h2 + -8h + 2) = 6h2 + -4h + -2

Reorder the terms:
(-4 + H2 + 4h) + (5h2 + -8h + 2) = 6h2 + -4h + -2

Remove parenthesis around (-4 + H2 + 4h)
-4 + H2 + 4h + (5h2 + -8h + 2) = 6h2 + -4h + -2

Reorder the terms:
-4 + H2 + 4h + (2 + -8h + 5h2) = 6h2 + -4h + -2

Remove parenthesis around (2 + -8h + 5h2)
-4 + H2 + 4h + 2 + -8h + 5h2 = 6h2 + -4h + -2

Reorder the terms:
-4 + 2 + H2 + 4h + -8h + 5h2 = 6h2 + -4h + -2

Combine like terms: -4 + 2 = -2
-2 + H2 + 4h + -8h + 5h2 = 6h2 + -4h + -2

Combine like terms: 4h + -8h = -4h
-2 + H2 + -4h + 5h2 = 6h2 + -4h + -2

Reorder the terms:
-2 + H2 + -4h + 5h2 = -2 + -4h + 6h2

Add '2' to each side of the equation.
-2 + H2 + -4h + 2 + 5h2 = -2 + -4h + 2 + 6h2

Reorder the terms:
-2 + 2 + H2 + -4h + 5h2 = -2 + -4h + 2 + 6h2

Combine like terms: -2 + 2 = 0
0 + H2 + -4h + 5h2 = -2 + -4h + 2 + 6h2
H2 + -4h + 5h2 = -2 + -4h + 2 + 6h2

Reorder the terms:
H2 + -4h + 5h2 = -2 + 2 + -4h + 6h2

Combine like terms: -2 + 2 = 0
H2 + -4h + 5h2 = 0 + -4h + 6h2
H2 + -4h + 5h2 = -4h + 6h2

Add '4h' to each side of the equation.
H2 + -4h + 4h + 5h2 = -4h + 4h + 6h2

Combine like terms: -4h + 4h = 0
H2 + 0 + 5h2 = -4h + 4h + 6h2
H2 + 5h2 = -4h + 4h + 6h2

Combine like terms: -4h + 4h = 0
H2 + 5h2 = 0 + 6h2
H2 + 5h2 = 6h2

Solving
H2 + 5h2 = 6h2

Solving for variable 'H'.

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

Add '-5h2' to each side of the equation.
H2 + 5h2 + -5h2 = 6h2 + -5h2

Combine like terms: 5h2 + -5h2 = 0
H2 + 0 = 6h2 + -5h2
H2 = 6h2 + -5h2

Combine like terms: 6h2 + -5h2 = 1h2
H2 = 1h2

Simplifying
H2 = 1h2

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

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