(8b-6)(6b-4)=

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Solution for (8b-6)(6b-4)= equation:


Simplifying
(8b + -6)(6b + -4) = 0

Reorder the terms:
(-6 + 8b)(6b + -4) = 0

Reorder the terms:
(-6 + 8b)(-4 + 6b) = 0

Multiply (-6 + 8b) * (-4 + 6b)
(-6(-4 + 6b) + 8b * (-4 + 6b)) = 0
((-4 * -6 + 6b * -6) + 8b * (-4 + 6b)) = 0
((24 + -36b) + 8b * (-4 + 6b)) = 0
(24 + -36b + (-4 * 8b + 6b * 8b)) = 0
(24 + -36b + (-32b + 48b2)) = 0

Combine like terms: -36b + -32b = -68b
(24 + -68b + 48b2) = 0

Solving
24 + -68b + 48b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + -17b + 12b2) = 0

Factor a trinomial.
4((2 + -3b)(3 + -4b)) = 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 '(3 + -4b)' equal to zero and attempt to solve: Simplifying 3 + -4b = 0 Solving 3 + -4b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4b = 0 + -3 -4b = 0 + -3 Combine like terms: 0 + -3 = -3 -4b = -3 Divide each side by '-4'. b = 0.75 Simplifying b = 0.75

Solution

b = {0.6666666667, 0.75}

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