3u(2u-5)-7u(2u+7)=

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Solution for 3u(2u-5)-7u(2u+7)= equation:


Simplifying
3u(2u + -5) + -7u(2u + 7) = 0

Reorder the terms:
3u(-5 + 2u) + -7u(2u + 7) = 0
(-5 * 3u + 2u * 3u) + -7u(2u + 7) = 0
(-15u + 6u2) + -7u(2u + 7) = 0

Reorder the terms:
-15u + 6u2 + -7u(7 + 2u) = 0
-15u + 6u2 + (7 * -7u + 2u * -7u) = 0
-15u + 6u2 + (-49u + -14u2) = 0

Reorder the terms:
-15u + -49u + 6u2 + -14u2 = 0

Combine like terms: -15u + -49u = -64u
-64u + 6u2 + -14u2 = 0

Combine like terms: 6u2 + -14u2 = -8u2
-64u + -8u2 = 0

Solving
-64u + -8u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '-8u'.
-8u(8 + u) = 0

Ignore the factor -8.

Subproblem 1

Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0

Subproblem 2

Set the factor '(8 + u)' equal to zero and attempt to solve: Simplifying 8 + u = 0 Solving 8 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + u = 0 + -8 Combine like terms: 8 + -8 = 0 0 + u = 0 + -8 u = 0 + -8 Combine like terms: 0 + -8 = -8 u = -8 Simplifying u = -8

Solution

u = {0, -8}

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