12b+10b=2b(x)

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Solution for 12b+10b=2b(x) equation:


Simplifying
12b + 10b = 2b(x)

Combine like terms: 12b + 10b = 22b
22b = 2b(x)

Multiply b * x
22b = 2bx

Solving
22b = 2bx

Solving for variable 'b'.

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

Add '-2bx' to each side of the equation.
22b + -2bx = 2bx + -2bx

Combine like terms: 2bx + -2bx = 0
22b + -2bx = 0

Factor out the Greatest Common Factor (GCF), '2b'.
2b(11 + -1x) = 0

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing b to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Add 'x' to each side of the equation. -1x + x = -11 + x Combine like terms: -1x + x = 0 0 = -11 + x Simplifying 0 = -11 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

b = {0}

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