(2x+1)(ax+b)=6x

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Solution for (2x+1)(ax+b)=6x equation:


Simplifying
(2x + 1)(ax + b) = 6x

Reorder the terms:
(1 + 2x)(ax + b) = 6x

Multiply (1 + 2x) * (ax + b)
(1(ax + b) + 2x * (ax + b)) = 6x
((ax * 1 + b * 1) + 2x * (ax + b)) = 6x
((1ax + 1b) + 2x * (ax + b)) = 6x
(1ax + 1b + (ax * 2x + b * 2x)) = 6x
(1ax + 1b + (2ax2 + 2bx)) = 6x

Reorder the terms:
(1ax + 2ax2 + 1b + 2bx) = 6x
(1ax + 2ax2 + 1b + 2bx) = 6x

Solving
1ax + 2ax2 + 1b + 2bx = 6x

Solving for variable 'a'.

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

Add '-1b' to each side of the equation.
1ax + 2ax2 + 1b + -1b + 2bx = -1b + 6x

Combine like terms: 1b + -1b = 0
1ax + 2ax2 + 0 + 2bx = -1b + 6x
1ax + 2ax2 + 2bx = -1b + 6x

Add '-2bx' to each side of the equation.
1ax + 2ax2 + 2bx + -2bx = -1b + -2bx + 6x

Combine like terms: 2bx + -2bx = 0
1ax + 2ax2 + 0 = -1b + -2bx + 6x
1ax + 2ax2 = -1b + -2bx + 6x

Reorder the terms:
1ax + 2ax2 + b + 2bx + -6x = -1b + b + -2bx + 2bx + 6x + -6x

Combine like terms: -1b + b = 0
1ax + 2ax2 + b + 2bx + -6x = 0 + -2bx + 2bx + 6x + -6x
1ax + 2ax2 + b + 2bx + -6x = -2bx + 2bx + 6x + -6x

Combine like terms: -2bx + 2bx = 0
1ax + 2ax2 + b + 2bx + -6x = 0 + 6x + -6x
1ax + 2ax2 + b + 2bx + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
1ax + 2ax2 + b + 2bx + -6x = 0

The solution to this equation could not be determined.

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