(ax+b)(3x+5)=

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Solution for (ax+b)(3x+5)= equation:


Simplifying
(ax + b)(3x + 5) = 0

Reorder the terms:
(ax + b)(5 + 3x) = 0

Multiply (ax + b) * (5 + 3x)
(ax(5 + 3x) + b(5 + 3x)) = 0
((5 * ax + 3x * ax) + b(5 + 3x)) = 0
((5ax + 3ax2) + b(5 + 3x)) = 0
(5ax + 3ax2 + (5 * b + 3x * b)) = 0
(5ax + 3ax2 + (5b + 3bx)) = 0
(5ax + 3ax2 + 5b + 3bx) = 0

Solving
5ax + 3ax2 + 5b + 3bx = 0

Solving for variable 'a'.

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

Add '-5b' to each side of the equation.
5ax + 3ax2 + 5b + -5b + 3bx = 0 + -5b

Combine like terms: 5b + -5b = 0
5ax + 3ax2 + 0 + 3bx = 0 + -5b
5ax + 3ax2 + 3bx = 0 + -5b
Remove the zero:
5ax + 3ax2 + 3bx = -5b

Add '-3bx' to each side of the equation.
5ax + 3ax2 + 3bx + -3bx = -5b + -3bx

Combine like terms: 3bx + -3bx = 0
5ax + 3ax2 + 0 = -5b + -3bx
5ax + 3ax2 = -5b + -3bx

Reorder the terms:
5ax + 3ax2 + 5b + 3bx = -5b + 5b + -3bx + 3bx

Combine like terms: -5b + 5b = 0
5ax + 3ax2 + 5b + 3bx = 0 + -3bx + 3bx
5ax + 3ax2 + 5b + 3bx = -3bx + 3bx

Combine like terms: -3bx + 3bx = 0
5ax + 3ax2 + 5b + 3bx = 0

The solution to this equation could not be determined.

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