2u(u-5)(u-3)=20

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Solution for 2u(u-5)(u-3)=20 equation:


Simplifying
2u(u + -5)(u + -3) = 20

Reorder the terms:
2u(-5 + u)(u + -3) = 20

Reorder the terms:
2u(-5 + u)(-3 + u) = 20

Multiply (-5 + u) * (-3 + u)
2u(-5(-3 + u) + u(-3 + u)) = 20
2u((-3 * -5 + u * -5) + u(-3 + u)) = 20
2u((15 + -5u) + u(-3 + u)) = 20
2u(15 + -5u + (-3 * u + u * u)) = 20
2u(15 + -5u + (-3u + u2)) = 20

Combine like terms: -5u + -3u = -8u
2u(15 + -8u + u2) = 20
(15 * 2u + -8u * 2u + u2 * 2u) = 20
(30u + -16u2 + 2u3) = 20

Solving
30u + -16u2 + 2u3 = 20

Solving for variable 'u'.

Reorder the terms:
-20 + 30u + -16u2 + 2u3 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 30u + -16u2 + 2u3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 15u + -8u2 + u3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-10 + 15u + -8u2 + u3)' equal to zero and attempt to solve: Simplifying -10 + 15u + -8u2 + u3 = 0 Solving -10 + 15u + -8u2 + u3 = 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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