36-4b=4b(-b+3)

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Solution for 36-4b=4b(-b+3) equation:


Simplifying
36 + -4b = 4b(-1b + 3)

Reorder the terms:
36 + -4b = 4b(3 + -1b)
36 + -4b = (3 * 4b + -1b * 4b)
36 + -4b = (12b + -4b2)

Solving
36 + -4b = 12b + -4b2

Solving for variable 'b'.

Combine like terms: -4b + -12b = -16b
36 + -16b + 4b2 = 12b + -4b2 + -12b + 4b2

Reorder the terms:
36 + -16b + 4b2 = 12b + -12b + -4b2 + 4b2

Combine like terms: 12b + -12b = 0
36 + -16b + 4b2 = 0 + -4b2 + 4b2
36 + -16b + 4b2 = -4b2 + 4b2

Combine like terms: -4b2 + 4b2 = 0
36 + -16b + 4b2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(9 + -4b + b2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(9 + -4b + b2)' equal to zero and attempt to solve:

Simplifying
9 + -4b + b2 = 0

Solving
9 + -4b + b2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + -4b + -9 + b2 = 0 + -9

Reorder the terms:
9 + -9 + -4b + b2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4b + b2 = 0 + -9
-4b + b2 = 0 + -9

Combine like terms: 0 + -9 = -9
-4b + b2 = -9

The b term is -4b.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4b + 4 + b2 = -9 + 4

Reorder the terms:
4 + -4b + b2 = -9 + 4

Combine like terms: -9 + 4 = -5
4 + -4b + b2 = -5

Factor a perfect square on the left side:
(b + -2)(b + -2) = -5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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