F(x+h)=(x+h)(20-(x+h))

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Solution for F(x+h)=(x+h)(20-(x+h)) equation: 


Simplifying
F(x + h) = (x + h)(20 + -1(x + h))

Reorder the terms:
F(h + x) = (x + h)(20 + -1(x + h))
(h * F + x * F) = (x + h)(20 + -1(x + h))
(hF + xF) = (x + h)(20 + -1(x + h))

Reorder the terms:
hF + xF = (h + x)(20 + -1(x + h))

Reorder the terms:
hF + xF = (h + x)(20 + -1(h + x))
hF + xF = (h + x)(20 + (h * -1 + x * -1))
hF + xF = (h + x)(20 + (-1h + -1x))

Multiply (h + x) * (20 + -1h + -1x)
hF + xF = (h(20 + -1h + -1x) + x(20 + -1h + -1x))
hF + xF = ((20 * h + -1h * h + -1x * h) + x(20 + -1h + -1x))

Reorder the terms:
hF + xF = ((20h + -1hx + -1h2) + x(20 + -1h + -1x))
hF + xF = ((20h + -1hx + -1h2) + x(20 + -1h + -1x))
hF + xF = (20h + -1hx + -1h2 + (20 * x + -1h * x + -1x * x))

Reorder the terms:
hF + xF = (20h + -1hx + -1h2 + (-1hx + 20x + -1x2))
hF + xF = (20h + -1hx + -1h2 + (-1hx + 20x + -1x2))

Reorder the terms:
hF + xF = (20h + -1hx + -1hx + -1h2 + 20x + -1x2)

Combine like terms: -1hx + -1hx = -2hx
hF + xF = (20h + -2hx + -1h2 + 20x + -1x2)

Solving
hF + xF = 20h + -2hx + -1h2 + 20x + -1x2

Solving for variable 'h'.

Reorder the terms:
-20h + hF + 2hx + h2 + -20x + xF + x2 = 20h + -2hx + -1h2 + 20x + -1x2 + -20h + 2hx + h2 + -20x + x2

Reorder the terms:
-20h + hF + 2hx + h2 + -20x + xF + x2 = 20h + -20h + -2hx + 2hx + -1h2 + h2 + 20x + -20x + -1x2 + x2

Combine like terms: 20h + -20h = 0
-20h + hF + 2hx + h2 + -20x + xF + x2 = 0 + -2hx + 2hx + -1h2 + h2 + 20x + -20x + -1x2 + x2
-20h + hF + 2hx + h2 + -20x + xF + x2 = -2hx + 2hx + -1h2 + h2 + 20x + -20x + -1x2 + x2

Combine like terms: -2hx + 2hx = 0
-20h + hF + 2hx + h2 + -20x + xF + x2 = 0 + -1h2 + h2 + 20x + -20x + -1x2 + x2
-20h + hF + 2hx + h2 + -20x + xF + x2 = -1h2 + h2 + 20x + -20x + -1x2 + x2

Combine like terms: -1h2 + h2 = 0
-20h + hF + 2hx + h2 + -20x + xF + x2 = 0 + 20x + -20x + -1x2 + x2
-20h + hF + 2hx + h2 + -20x + xF + x2 = 20x + -20x + -1x2 + x2

Combine like terms: 20x + -20x = 0
-20h + hF + 2hx + h2 + -20x + xF + x2 = 0 + -1x2 + x2
-20h + hF + 2hx + h2 + -20x + xF + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-20h + hF + 2hx + h2 + -20x + xF + x2 = 0

The solution to this equation could not be determined.

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