(3b+4)(4b-7)=

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Solution for (3b+4)(4b-7)= equation: 


Simplifying
(3b + 4)(4b + -7) = 0

Reorder the terms:
(4 + 3b)(4b + -7) = 0

Reorder the terms:
(4 + 3b)(-7 + 4b) = 0

Multiply (4 + 3b) * (-7 + 4b)
(4(-7 + 4b) + 3b * (-7 + 4b)) = 0
((-7 * 4 + 4b * 4) + 3b * (-7 + 4b)) = 0
((-28 + 16b) + 3b * (-7 + 4b)) = 0
(-28 + 16b + (-7 * 3b + 4b * 3b)) = 0
(-28 + 16b + (-21b + 12b2)) = 0

Combine like terms: 16b + -21b = -5b
(-28 + -5b + 12b2) = 0

Solving
-28 + -5b + 12b2 = 0

Solving for variable 'b'.

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


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

Simplifying
-4 + -3b = 0

Solving
-4 + -3b = 0

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

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

Combine like terms: -4 + 4 = 0
0 + -3b = 0 + 4
-3b = 0 + 4

Combine like terms: 0 + 4 = 4
-3b = 4

Divide each side by '-3'.
b = -1.333333333

Simplifying
b = -1.333333333

Subproblem 2
Set the factor '(7 + -4b)' equal to zero and attempt to solve:

Simplifying
7 + -4b = 0

Solving
7 + -4b = 0

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

Add '-7' to each side of the equation.
7 + -7 + -4b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4b = 0 + -7
-4b = 0 + -7

Combine like terms: 0 + -7 = -7
-4b = -7

Divide each side by '-4'.
b = 1.75

Simplifying
b = 1.75
Solution
b = {-1.333333333, 1.75}

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