2b(-6b-7)+2b^2=

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Solution for 2b(-6b-7)+2b^2= equation: 


Simplifying
2b(-6b + -7) + 2b2 = 0

Reorder the terms:
2b(-7 + -6b) + 2b2 = 0
(-7 * 2b + -6b * 2b) + 2b2 = 0
(-14b + -12b2) + 2b2 = 0

Combine like terms: -12b2 + 2b2 = -10b2
-14b + -10b2 = 0

Solving
-14b + -10b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '-2b'.
-2b(7 + 5b) = 0

Ignore the factor -2.

Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0

Subproblem 2
Set the factor '(7 + 5b)' equal to zero and attempt to solve:

Simplifying
7 + 5b = 0

Solving
7 + 5b = 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 + 5b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5b = 0 + -7
5b = 0 + -7

Combine like terms: 0 + -7 = -7
5b = -7

Divide each side by '5'.
b = -1.4

Simplifying
b = -1.4
Solution
b = {0, -1.4}

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