4x^2+ax=2x(2x+1)

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Solution for 4x^2+ax=2x(2x+1) equation: 


Simplifying
4x2 + ax = 2x(2x + 1)

Reorder the terms:
ax + 4x2 = 2x(2x + 1)

Reorder the terms:
ax + 4x2 = 2x(1 + 2x)
ax + 4x2 = (1 * 2x + 2x * 2x)
ax + 4x2 = (2x + 4x2)

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

Combine like terms: 4x2 + -4x2 = 0
ax + 0 = 2x + 4x2 + -4x2
ax = 2x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
ax = 2x + 0
ax = 2x

Solving
ax = 2x

Solving for variable 'a'.

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

Divide each side by 'x'.
a = 2

Simplifying
a = 2

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