p(a+2)=7x^2+4x

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Solution for p(a+2)=7x^2+4x equation:


Simplifying
p(a + 2) = 7x2 + 4x

Reorder the terms:
p(2 + a) = 7x2 + 4x
(2 * p + a * p) = 7x2 + 4x

Reorder the terms:
(ap + 2p) = 7x2 + 4x
(ap + 2p) = 7x2 + 4x

Reorder the terms:
ap + 2p = 4x + 7x2

Solving
ap + 2p = 4x + 7x2

Solving for variable 'a'.

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

Add '-2p' to each side of the equation.
ap + 2p + -2p = 4x + -2p + 7x2

Combine like terms: 2p + -2p = 0
ap + 0 = 4x + -2p + 7x2
ap = 4x + -2p + 7x2

Reorder the terms:
ap = -2p + 4x + 7x2

Divide each side by 'p'.
a = -2 + 4p-1x + 7p-1x2

Simplifying
a = -2 + 4p-1x + 7p-1x2

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