(3x-1)(ax+b)=

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Solution for (3x-1)(ax+b)= equation:


Simplifying
(3x + -1)(ax + b) = 0

Reorder the terms:
(-1 + 3x)(ax + b) = 0

Multiply (-1 + 3x) * (ax + b)
(-1(ax + b) + 3x * (ax + b)) = 0
((ax * -1 + b * -1) + 3x * (ax + b)) = 0
((-1ax + -1b) + 3x * (ax + b)) = 0
(-1ax + -1b + (ax * 3x + b * 3x)) = 0
(-1ax + -1b + (3ax2 + 3bx)) = 0

Reorder the terms:
(-1ax + 3ax2 + -1b + 3bx) = 0
(-1ax + 3ax2 + -1b + 3bx) = 0

Solving
-1ax + 3ax2 + -1b + 3bx = 0

Solving for variable 'a'.

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

Add 'b' to each side of the equation.
-1ax + 3ax2 + -1b + b + 3bx = 0 + b

Combine like terms: -1b + b = 0
-1ax + 3ax2 + 0 + 3bx = 0 + b
-1ax + 3ax2 + 3bx = 0 + b
Remove the zero:
-1ax + 3ax2 + 3bx = b

Add '-3bx' to each side of the equation.
-1ax + 3ax2 + 3bx + -3bx = b + -3bx

Combine like terms: 3bx + -3bx = 0
-1ax + 3ax2 + 0 = b + -3bx
-1ax + 3ax2 = b + -3bx

Reorder the terms:
-1ax + 3ax2 + -1b + 3bx = b + -1b + -3bx + 3bx

Combine like terms: b + -1b = 0
-1ax + 3ax2 + -1b + 3bx = 0 + -3bx + 3bx
-1ax + 3ax2 + -1b + 3bx = -3bx + 3bx

Combine like terms: -3bx + 3bx = 0
-1ax + 3ax2 + -1b + 3bx = 0

The solution to this equation could not be determined.

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