7u=2u^2-4

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Solution for 7u=2u^2-4 equation:


Simplifying
7u = 2u2 + -4

Reorder the terms:
7u = -4 + 2u2

Solving
7u = -4 + 2u2

Solving for variable 'u'.

Reorder the terms:
4 + 7u + -2u2 = -4 + 2u2 + 4 + -2u2

Reorder the terms:
4 + 7u + -2u2 = -4 + 4 + 2u2 + -2u2

Combine like terms: -4 + 4 = 0
4 + 7u + -2u2 = 0 + 2u2 + -2u2
4 + 7u + -2u2 = 2u2 + -2u2

Combine like terms: 2u2 + -2u2 = 0
4 + 7u + -2u2 = 0

Factor a trinomial.
(4 + -1u)(1 + 2u) = 0

Subproblem 1

Set the factor '(4 + -1u)' equal to zero and attempt to solve: Simplifying 4 + -1u = 0 Solving 4 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1u = 0 + -4 -1u = 0 + -4 Combine like terms: 0 + -4 = -4 -1u = -4 Divide each side by '-1'. u = 4 Simplifying u = 4

Subproblem 2

Set the factor '(1 + 2u)' equal to zero and attempt to solve: Simplifying 1 + 2u = 0 Solving 1 + 2u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2u = 0 + -1 2u = 0 + -1 Combine like terms: 0 + -1 = -1 2u = -1 Divide each side by '2'. u = -0.5 Simplifying u = -0.5

Solution

u = {4, -0.5}

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