(4b^4-8b^3)+(8b^4-7b^2+3b^3)=

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Solution for (4b^4-8b^3)+(8b^4-7b^2+3b^3)= equation: 


Simplifying
(4b4 + -8b3) + (8b4 + -7b2 + 3b3) = 0

Reorder the terms:
(-8b3 + 4b4) + (8b4 + -7b2 + 3b3) = 0

Remove parenthesis around (-8b3 + 4b4)
-8b3 + 4b4 + (8b4 + -7b2 + 3b3) = 0

Reorder the terms:
-8b3 + 4b4 + (-7b2 + 3b3 + 8b4) = 0

Remove parenthesis around (-7b2 + 3b3 + 8b4)
-8b3 + 4b4 + -7b2 + 3b3 + 8b4 = 0

Reorder the terms:
-7b2 + -8b3 + 3b3 + 4b4 + 8b4 = 0

Combine like terms: -8b3 + 3b3 = -5b3
-7b2 + -5b3 + 4b4 + 8b4 = 0

Combine like terms: 4b4 + 8b4 = 12b4
-7b2 + -5b3 + 12b4 = 0

Solving
-7b2 + -5b3 + 12b4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b2'.
b2(-7 + -5b + 12b2) = 0

Factor a trinomial.
b2((-7 + -12b)(1 + -1b)) = 0


Subproblem 1
Set the factor 'b2' equal to zero and attempt to solve:

Simplifying
b2 = 0

Solving
b2 = 0

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

Simplifying
b2 = 0

Take the square root of each side:
b = {0}

Subproblem 2
Set the factor '(-7 + -12b)' equal to zero and attempt to solve:

Simplifying
-7 + -12b = 0

Solving
-7 + -12b = 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 + -12b = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -12b = 0 + 7
-12b = 0 + 7

Combine like terms: 0 + 7 = 7
-12b = 7

Divide each side by '-12'.
b = -0.5833333333

Simplifying
b = -0.5833333333

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

Simplifying
1 + -1b = 0

Solving
1 + -1b = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1b = 0 + -1
-1b = 0 + -1

Combine like terms: 0 + -1 = -1
-1b = -1

Divide each side by '-1'.
b = 1

Simplifying
b = 1
Solution
b = {0, -0.5833333333, 1}

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