(4x^2+4x+6)(7x+5)=0

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Solution for (4x^2+4x+6)(7x+5)=0 equation:


Simplifying
(4x2 + 4x + 6)(7x + 5) = 0

Reorder the terms:
(6 + 4x + 4x2)(7x + 5) = 0

Reorder the terms:
(6 + 4x + 4x2)(5 + 7x) = 0

Multiply (6 + 4x + 4x2) * (5 + 7x)
(6(5 + 7x) + 4x * (5 + 7x) + 4x2 * (5 + 7x)) = 0
((5 * 6 + 7x * 6) + 4x * (5 + 7x) + 4x2 * (5 + 7x)) = 0
((30 + 42x) + 4x * (5 + 7x) + 4x2 * (5 + 7x)) = 0
(30 + 42x + (5 * 4x + 7x * 4x) + 4x2 * (5 + 7x)) = 0
(30 + 42x + (20x + 28x2) + 4x2 * (5 + 7x)) = 0
(30 + 42x + 20x + 28x2 + (5 * 4x2 + 7x * 4x2)) = 0
(30 + 42x + 20x + 28x2 + (20x2 + 28x3)) = 0

Combine like terms: 42x + 20x = 62x
(30 + 62x + 28x2 + 20x2 + 28x3) = 0

Combine like terms: 28x2 + 20x2 = 48x2
(30 + 62x + 48x2 + 28x3) = 0

Solving
30 + 62x + 48x2 + 28x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + 31x + 24x2 + 14x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(15 + 31x + 24x2 + 14x3)' equal to zero and attempt to solve: Simplifying 15 + 31x + 24x2 + 14x3 = 0 Solving 15 + 31x + 24x2 + 14x3 = 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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