5V^2+2V=7

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Solution for 5V^2+2V=7 equation:


Simplifying
5V2 + 2V = 7

Reorder the terms:
2V + 5V2 = 7

Solving
2V + 5V2 = 7

Solving for variable 'V'.

Reorder the terms:
-7 + 2V + 5V2 = 7 + -7

Combine like terms: 7 + -7 = 0
-7 + 2V + 5V2 = 0

Factor a trinomial.
(-7 + -5V)(1 + -1V) = 0

Subproblem 1

Set the factor '(-7 + -5V)' equal to zero and attempt to solve: Simplifying -7 + -5V = 0 Solving -7 + -5V = 0 Move all terms containing V to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5V = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5V = 0 + 7 -5V = 0 + 7 Combine like terms: 0 + 7 = 7 -5V = 7 Divide each side by '-5'. V = -1.4 Simplifying V = -1.4

Subproblem 2

Set the factor '(1 + -1V)' equal to zero and attempt to solve: Simplifying 1 + -1V = 0 Solving 1 + -1V = 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 + -1V = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1V = 0 + -1 -1V = 0 + -1 Combine like terms: 0 + -1 = -1 -1V = -1 Divide each side by '-1'. V = 1 Simplifying V = 1

Solution

V = {-1.4, 1}

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