(4u^2-2u-1)(u^2+7u+5)=0

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Solution for (4u^2-2u-1)(u^2+7u+5)=0 equation:


Simplifying
(4u2 + -2u + -1)(u2 + 7u + 5) = 0

Reorder the terms:
(-1 + -2u + 4u2)(u2 + 7u + 5) = 0

Reorder the terms:
(-1 + -2u + 4u2)(5 + 7u + u2) = 0

Multiply (-1 + -2u + 4u2) * (5 + 7u + u2)
(-1(5 + 7u + u2) + -2u * (5 + 7u + u2) + 4u2 * (5 + 7u + u2)) = 0
((5 * -1 + 7u * -1 + u2 * -1) + -2u * (5 + 7u + u2) + 4u2 * (5 + 7u + u2)) = 0
((-5 + -7u + -1u2) + -2u * (5 + 7u + u2) + 4u2 * (5 + 7u + u2)) = 0
(-5 + -7u + -1u2 + (5 * -2u + 7u * -2u + u2 * -2u) + 4u2 * (5 + 7u + u2)) = 0
(-5 + -7u + -1u2 + (-10u + -14u2 + -2u3) + 4u2 * (5 + 7u + u2)) = 0
(-5 + -7u + -1u2 + -10u + -14u2 + -2u3 + (5 * 4u2 + 7u * 4u2 + u2 * 4u2)) = 0
(-5 + -7u + -1u2 + -10u + -14u2 + -2u3 + (20u2 + 28u3 + 4u4)) = 0

Reorder the terms:
(-5 + -7u + -10u + -1u2 + -14u2 + 20u2 + -2u3 + 28u3 + 4u4) = 0

Combine like terms: -7u + -10u = -17u
(-5 + -17u + -1u2 + -14u2 + 20u2 + -2u3 + 28u3 + 4u4) = 0

Combine like terms: -1u2 + -14u2 = -15u2
(-5 + -17u + -15u2 + 20u2 + -2u3 + 28u3 + 4u4) = 0

Combine like terms: -15u2 + 20u2 = 5u2
(-5 + -17u + 5u2 + -2u3 + 28u3 + 4u4) = 0

Combine like terms: -2u3 + 28u3 = 26u3
(-5 + -17u + 5u2 + 26u3 + 4u4) = 0

Solving
-5 + -17u + 5u2 + 26u3 + 4u4 = 0

Solving for variable 'u'.

The solution to this equation could not be determined.

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