3x^2+3x(1+b)=3xb

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Solution for 3x^2+3x(1+b)=3xb equation:


Simplifying
3x2 + 3x(1 + b) = 3xb
3x2 + (1 * 3x + b * 3x) = 3xb

Reorder the terms:
3x2 + (3bx + 3x) = 3xb
3x2 + (3bx + 3x) = 3xb

Reorder the terms:
3bx + 3x + 3x2 = 3xb

Add '-3bx' to each side of the equation.
3bx + 3x + -3bx + 3x2 = 3bx + -3bx

Reorder the terms:
3bx + -3bx + 3x + 3x2 = 3bx + -3bx

Combine like terms: 3bx + -3bx = 0
0 + 3x + 3x2 = 3bx + -3bx
3x + 3x2 = 3bx + -3bx

Combine like terms: 3bx + -3bx = 0
3x + 3x2 = 0

Solving
3x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(1 + x) = 0

Ignore the factor 3.

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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {0, -1}

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