h(x+4)=(x+4)(x+4)-2(x+4)

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Solution for h(x+4)=(x+4)(x+4)-2(x+4) equation: 


Simplifying
h(x + 4) = (x + 4)(x + 4) + -2(x + 4)

Reorder the terms:
h(4 + x) = (x + 4)(x + 4) + -2(x + 4)
(4 * h + x * h) = (x + 4)(x + 4) + -2(x + 4)
(4h + hx) = (x + 4)(x + 4) + -2(x + 4)

Reorder the terms:
4h + hx = (4 + x)(x + 4) + -2(x + 4)

Reorder the terms:
4h + hx = (4 + x)(4 + x) + -2(x + 4)

Multiply (4 + x) * (4 + x)
4h + hx = (4(4 + x) + x(4 + x)) + -2(x + 4)
4h + hx = ((4 * 4 + x * 4) + x(4 + x)) + -2(x + 4)
4h + hx = ((16 + 4x) + x(4 + x)) + -2(x + 4)
4h + hx = (16 + 4x + (4 * x + x * x)) + -2(x + 4)
4h + hx = (16 + 4x + (4x + x2)) + -2(x + 4)

Combine like terms: 4x + 4x = 8x
4h + hx = (16 + 8x + x2) + -2(x + 4)

Reorder the terms:
4h + hx = 16 + 8x + x2 + -2(4 + x)
4h + hx = 16 + 8x + x2 + (4 * -2 + x * -2)
4h + hx = 16 + 8x + x2 + (-8 + -2x)

Reorder the terms:
4h + hx = 16 + -8 + 8x + -2x + x2

Combine like terms: 16 + -8 = 8
4h + hx = 8 + 8x + -2x + x2

Combine like terms: 8x + -2x = 6x
4h + hx = 8 + 6x + x2

Solving
4h + hx = 8 + 6x + x2

Solving for variable 'h'.

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

Reorder the terms:
-8 + 4h + hx + -6x + -1x2 = 8 + 6x + x2 + -8 + -6x + -1x2

Reorder the terms:
-8 + 4h + hx + -6x + -1x2 = 8 + -8 + 6x + -6x + x2 + -1x2

Combine like terms: 8 + -8 = 0
-8 + 4h + hx + -6x + -1x2 = 0 + 6x + -6x + x2 + -1x2
-8 + 4h + hx + -6x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
-8 + 4h + hx + -6x + -1x2 = 0 + x2 + -1x2
-8 + 4h + hx + -6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8 + 4h + hx + -6x + -1x2 = 0

The solution to this equation could not be determined.

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