(4b^2+2b-4)(2b^2+8b-7)=0

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Solution for (4b^2+2b-4)(2b^2+8b-7)=0 equation: 


Simplifying
(4b2 + 2b + -4)(2b2 + 8b + -7) = 0

Reorder the terms:
(-4 + 2b + 4b2)(2b2 + 8b + -7) = 0

Reorder the terms:
(-4 + 2b + 4b2)(-7 + 8b + 2b2) = 0

Multiply (-4 + 2b + 4b2) * (-7 + 8b + 2b2)
(-4(-7 + 8b + 2b2) + 2b * (-7 + 8b + 2b2) + 4b2 * (-7 + 8b + 2b2)) = 0
((-7 * -4 + 8b * -4 + 2b2 * -4) + 2b * (-7 + 8b + 2b2) + 4b2 * (-7 + 8b + 2b2)) = 0
((28 + -32b + -8b2) + 2b * (-7 + 8b + 2b2) + 4b2 * (-7 + 8b + 2b2)) = 0
(28 + -32b + -8b2 + (-7 * 2b + 8b * 2b + 2b2 * 2b) + 4b2 * (-7 + 8b + 2b2)) = 0
(28 + -32b + -8b2 + (-14b + 16b2 + 4b3) + 4b2 * (-7 + 8b + 2b2)) = 0
(28 + -32b + -8b2 + -14b + 16b2 + 4b3 + (-7 * 4b2 + 8b * 4b2 + 2b2 * 4b2)) = 0
(28 + -32b + -8b2 + -14b + 16b2 + 4b3 + (-28b2 + 32b3 + 8b4)) = 0

Reorder the terms:
(28 + -32b + -14b + -8b2 + 16b2 + -28b2 + 4b3 + 32b3 + 8b4) = 0

Combine like terms: -32b + -14b = -46b
(28 + -46b + -8b2 + 16b2 + -28b2 + 4b3 + 32b3 + 8b4) = 0

Combine like terms: -8b2 + 16b2 = 8b2
(28 + -46b + 8b2 + -28b2 + 4b3 + 32b3 + 8b4) = 0

Combine like terms: 8b2 + -28b2 = -20b2
(28 + -46b + -20b2 + 4b3 + 32b3 + 8b4) = 0

Combine like terms: 4b3 + 32b3 = 36b3
(28 + -46b + -20b2 + 36b3 + 8b4) = 0

Solving
28 + -46b + -20b2 + 36b3 + 8b4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(14 + -23b + -10b2 + 18b3 + 4b4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(14 + -23b + -10b2 + 18b3 + 4b4)' equal to zero and attempt to solve:

Simplifying
14 + -23b + -10b2 + 18b3 + 4b4 = 0

Solving
14 + -23b + -10b2 + 18b3 + 4b4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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