24x^2+8x=4x*b

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Solution for 24x^2+8x=4x*b equation:


Simplifying
24x2 + 8x = 4x * b

Reorder the terms:
8x + 24x2 = 4x * b

Multiply x * b
8x + 24x2 = 4bx

Solving
8x + 24x2 = 4bx

Solving for variable 'x'.

Reorder the terms:
-4bx + 8x + 24x2 = 4bx + -4bx

Combine like terms: 4bx + -4bx = 0
-4bx + 8x + 24x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-1b + 2 + 6x) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-1b + 2 + 6x)' equal to zero and attempt to solve: Simplifying -1b + 2 + 6x = 0 Reorder the terms: 2 + -1b + 6x = 0 Solving 2 + -1b + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1b + -2 + 6x = 0 + -2 Reorder the terms: 2 + -2 + -1b + 6x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1b + 6x = 0 + -2 -1b + 6x = 0 + -2 Combine like terms: 0 + -2 = -2 -1b + 6x = -2 Add 'b' to each side of the equation. -1b + b + 6x = -2 + b Combine like terms: -1b + b = 0 0 + 6x = -2 + b 6x = -2 + b Divide each side by '6'. x = -0.3333333333 + 0.1666666667b Simplifying x = -0.3333333333 + 0.1666666667b

Solution

x = {0, -0.3333333333 + 0.1666666667b}

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