2x(7b-59)*3(6b-4)=

Solution for 2x(7b-59)*3(6b-4)= equation:

Simplifying
2x(7b + -59) * 3(6b + -4) = 0

Reorder the terms:
2x(-59 + 7b) * 3(6b + -4) = 0

Reorder the terms:
2x(-59 + 7b) * 3(-4 + 6b) = 0

Reorder the terms for easier multiplication:
2 * 3x(-59 + 7b)(-4 + 6b) = 0

Multiply 2 * 3
6x(-59 + 7b)(-4 + 6b) = 0

Multiply (-59 + 7b) * (-4 + 6b)
6x(-59(-4 + 6b) + 7b * (-4 + 6b)) = 0
6x((-4 * -59 + 6b * -59) + 7b * (-4 + 6b)) = 0
6x((236 + -354b) + 7b * (-4 + 6b)) = 0
6x(236 + -354b + (-4 * 7b + 6b * 7b)) = 0
6x(236 + -354b + (-28b + 42b2)) = 0

Combine like terms: -354b + -28b = -382b
6x(236 + -382b + 42b2) = 0
(236 * 6x + -382b * 6x + 42b2 * 6x) = 0

Reorder the terms:
(-2292bx + 252b2x + 1416x) = 0
(-2292bx + 252b2x + 1416x) = 0

Solving
-2292bx + 252b2x + 1416x = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '12x'.
12x(-191b + 21b2 + 118) = 0

Factor a trinomial.
12x((7b + -59)(3b + -2)) = 0

Ignore the factor 12.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(7b + -59)' equal to zero and attempt to solve:

Simplifying
7b + -59 = 0

Reorder the terms:
-59 + 7b = 0

Solving
-59 + 7b = 0

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

Add '59' to each side of the equation.
-59 + 59 + 7b = 0 + 59

Combine like terms: -59 + 59 = 0
0 + 7b = 0 + 59
7b = 0 + 59

Combine like terms: 0 + 59 = 59
7b = 59

Divide each side by '7'.
b = 8.428571429

Simplifying
b = 8.428571429
Subproblem 3
Set the factor '(3b + -2)' equal to zero and attempt to solve:

Simplifying
3b + -2 = 0

Reorder the terms:
-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
Solution
b = {8.428571429, 0.6666666667}