(2x+a)(3x^2+b)=0

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Solution for (2x+a)(3x^2+b)=0 equation:


Simplifying
(2x + a)(3x2 + b) = 0

Reorder the terms:
(a + 2x)(3x2 + b) = 0

Reorder the terms:
(a + 2x)(b + 3x2) = 0

Multiply (a + 2x) * (b + 3x2)
(a(b + 3x2) + 2x * (b + 3x2)) = 0
((b * a + 3x2 * a) + 2x * (b + 3x2)) = 0
((ab + 3ax2) + 2x * (b + 3x2)) = 0
(ab + 3ax2 + (b * 2x + 3x2 * 2x)) = 0
(ab + 3ax2 + (2bx + 6x3)) = 0
(ab + 3ax2 + 2bx + 6x3) = 0

Solving
ab + 3ax2 + 2bx + 6x3 = 0

Solving for variable 'a'.

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

Add '-2bx' to each side of the equation.
ab + 3ax2 + 2bx + -2bx + 6x3 = 0 + -2bx

Combine like terms: 2bx + -2bx = 0
ab + 3ax2 + 0 + 6x3 = 0 + -2bx
ab + 3ax2 + 6x3 = 0 + -2bx
Remove the zero:
ab + 3ax2 + 6x3 = -2bx

Add '-6x3' to each side of the equation.
ab + 3ax2 + 6x3 + -6x3 = -2bx + -6x3

Combine like terms: 6x3 + -6x3 = 0
ab + 3ax2 + 0 = -2bx + -6x3
ab + 3ax2 = -2bx + -6x3

Reorder the terms:
ab + 3ax2 + 2bx + 6x3 = -2bx + 2bx + -6x3 + 6x3

Combine like terms: -2bx + 2bx = 0
ab + 3ax2 + 2bx + 6x3 = 0 + -6x3 + 6x3
ab + 3ax2 + 2bx + 6x3 = -6x3 + 6x3

Combine like terms: -6x3 + 6x3 = 0
ab + 3ax2 + 2bx + 6x3 = 0

The solution to this equation could not be determined.

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