((5x^2)+5x+7)(8x+6)=0

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Solution for ((5x^2)+5x+7)(8x+6)=0 equation: 


Simplifying
((5x2) + 5x + 7)(8x + 6) = 0

Reorder the terms:
(7 + 5x + (5x2))(8x + 6) = 0

Reorder the terms:
(7 + 5x + (5x2))(6 + 8x) = 0

Multiply (7 + 5x + (5x2)) * (6 + 8x)
(7(6 + 8x) + 5x * (6 + 8x) + (5x2)(6 + 8x)) = 0
((6 * 7 + 8x * 7) + 5x * (6 + 8x) + (5x2)(6 + 8x)) = 0
((42 + 56x) + 5x * (6 + 8x) + (5x2)(6 + 8x)) = 0
(42 + 56x + (6 * 5x + 8x * 5x) + (5x2)(6 + 8x)) = 0
(42 + 56x + (30x + 40x2) + (5x2)(6 + 8x)) = 0
(42 + 56x + 30x + 40x2 + (6 * 5x2 + 8x * 5x2)) = 0
(42 + 56x + 30x + 40x2 + (30x2 + 40x3)) = 0

Combine like terms: 56x + 30x = 86x
(42 + 86x + 40x2 + 30x2 + 40x3) = 0

Combine like terms: 40x2 + 30x2 = 70x2
(42 + 86x + 70x2 + 40x3) = 0

Solving
42 + 86x + 70x2 + 40x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(21 + 43x + 35x2 + 20x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(21 + 43x + 35x2 + 20x3)' equal to zero and attempt to solve:

Simplifying
21 + 43x + 35x2 + 20x3 = 0

Solving
21 + 43x + 35x2 + 20x3 = 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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