h(x)=(3x+1)2+3x+1

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Solution for h(x)=(3x+1)2+3x+1 equation:


Simplifying
h(x) = (3x + 1) * 2 + 3x + 1

Multiply h * x
hx = (3x + 1) * 2 + 3x + 1

Reorder the terms:
hx = (1 + 3x) * 2 + 3x + 1

Reorder the terms for easier multiplication:
hx = 2(1 + 3x) + 3x + 1
hx = (1 * 2 + 3x * 2) + 3x + 1
hx = (2 + 6x) + 3x + 1

Reorder the terms:
hx = 2 + 1 + 6x + 3x

Combine like terms: 2 + 1 = 3
hx = 3 + 6x + 3x

Combine like terms: 6x + 3x = 9x
hx = 3 + 9x

Solving
hx = 3 + 9x

Solving for variable 'h'.

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

Divide each side by 'x'.
h = 3x-1 + 9

Simplifying
h = 3x-1 + 9

Reorder the terms:
h = 9 + 3x-1

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