-(3b-2)(4b+7)=

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Solution for -(3b-2)(4b+7)= equation: 


Simplifying
-1(3b + -2)(4b + 7) = 0

Reorder the terms:
-1(-2 + 3b)(4b + 7) = 0

Reorder the terms:
-1(-2 + 3b)(7 + 4b) = 0

Multiply (-2 + 3b) * (7 + 4b)
-1(-2(7 + 4b) + 3b * (7 + 4b)) = 0
-1((7 * -2 + 4b * -2) + 3b * (7 + 4b)) = 0
-1((-14 + -8b) + 3b * (7 + 4b)) = 0
-1(-14 + -8b + (7 * 3b + 4b * 3b)) = 0
-1(-14 + -8b + (21b + 12b2)) = 0

Combine like terms: -8b + 21b = 13b
-1(-14 + 13b + 12b2) = 0
(-14 * -1 + 13b * -1 + 12b2 * -1) = 0
(14 + -13b + -12b2) = 0

Solving
14 + -13b + -12b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(2 + -3b)(7 + 4b) = 0


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 '(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 = {0.6666666667, -1.75}

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