(6x+8b)(6x-14b)=

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Solution for (6x+8b)(6x-14b)= equation: 


Simplifying
(6x + 8b)(6x + -14b) = 0

Reorder the terms:
(8b + 6x)(6x + -14b) = 0

Reorder the terms:
(8b + 6x)(-14b + 6x) = 0

Multiply (8b + 6x) * (-14b + 6x)
(8b * (-14b + 6x) + 6x * (-14b + 6x)) = 0
((-14b * 8b + 6x * 8b) + 6x * (-14b + 6x)) = 0

Reorder the terms:
((48bx + -112b2) + 6x * (-14b + 6x)) = 0
((48bx + -112b2) + 6x * (-14b + 6x)) = 0
(48bx + -112b2 + (-14b * 6x + 6x * 6x)) = 0
(48bx + -112b2 + (-84bx + 36x2)) = 0

Reorder the terms:
(48bx + -84bx + -112b2 + 36x2) = 0

Combine like terms: 48bx + -84bx = -36bx
(-36bx + -112b2 + 36x2) = 0

Solving
-36bx + -112b2 + 36x2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-9bx + -28b2 + 9x2) = 0

Factor a trinomial.
4((-4b + -3x)(7b + -3x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-4b + -3x)' equal to zero and attempt to solve:

Simplifying
-4b + -3x = 0

Solving
-4b + -3x = 0

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

Add '3x' to each side of the equation.
-4b + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
-4b + 0 = 0 + 3x
-4b = 0 + 3x
Remove the zero:
-4b = 3x

Divide each side by '-4'.
b = -0.75x

Simplifying
b = -0.75x

Subproblem 2
Set the factor '(7b + -3x)' equal to zero and attempt to solve:

Simplifying
7b + -3x = 0

Solving
7b + -3x = 0

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

Add '3x' to each side of the equation.
7b + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
7b + 0 = 0 + 3x
7b = 0 + 3x
Remove the zero:
7b = 3x

Divide each side by '7'.
b = 0.4285714286x

Simplifying
b = 0.4285714286x
Solution
b = {-0.75x, 0.4285714286x}

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