(3b-2)(4b-4)=

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Solution for (3b-2)(4b-4)= equation:


Simplifying
(3b + -2)(4b + -4) = 0

Reorder the terms:
(-2 + 3b)(4b + -4) = 0

Reorder the terms:
(-2 + 3b)(-4 + 4b) = 0

Multiply (-2 + 3b) * (-4 + 4b)
(-2(-4 + 4b) + 3b * (-4 + 4b)) = 0
((-4 * -2 + 4b * -2) + 3b * (-4 + 4b)) = 0
((8 + -8b) + 3b * (-4 + 4b)) = 0
(8 + -8b + (-4 * 3b + 4b * 3b)) = 0
(8 + -8b + (-12b + 12b2)) = 0

Combine like terms: -8b + -12b = -20b
(8 + -20b + 12b2) = 0

Solving
8 + -20b + 12b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(2 + -5b + 3b2) = 0

Factor a trinomial.
4((2 + -3b)(1 + -1b)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(2 + -3b)' equal to zero and attempt to solve: Simplifying 2 + -3b = 0 Solving 2 + -3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3b = 0 + -2 -3b = 0 + -2 Combine like terms: 0 + -2 = -2 -3b = -2 Divide each side by '-3'. b = 0.6666666667 Simplifying b = 0.6666666667

Subproblem 2

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

Solution

b = {0.6666666667, 1}

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