5V^2+26V=-5

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Solution for 5V^2+26V=-5 equation:


Simplifying
5V2 + 26V = -5

Reorder the terms:
26V + 5V2 = -5

Solving
26V + 5V2 = -5

Solving for variable 'V'.

Reorder the terms:
5 + 26V + 5V2 = -5 + 5

Combine like terms: -5 + 5 = 0
5 + 26V + 5V2 = 0

Factor a trinomial.
(5 + V)(1 + 5V) = 0

Subproblem 1

Set the factor '(5 + V)' equal to zero and attempt to solve: Simplifying 5 + V = 0 Solving 5 + V = 0 Move all terms containing V to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + V = 0 + -5 Combine like terms: 5 + -5 = 0 0 + V = 0 + -5 V = 0 + -5 Combine like terms: 0 + -5 = -5 V = -5 Simplifying V = -5

Subproblem 2

Set the factor '(1 + 5V)' equal to zero and attempt to solve: Simplifying 1 + 5V = 0 Solving 1 + 5V = 0 Move all terms containing V to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5V = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5V = 0 + -1 5V = 0 + -1 Combine like terms: 0 + -1 = -1 5V = -1 Divide each side by '5'. V = -0.2 Simplifying V = -0.2

Solution

V = {-5, -0.2}

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