7U^2-7U^2V^2=0

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Solution for 7U^2-7U^2V^2=0 equation:


Simplifying
7U2 + -7U2V2 = 0

Solving
7U2 + -7U2V2 = 0

Solving for variable 'U'.

Move all terms containing U to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), '7U2'.
7U2(1 + -1V2) = 0

Factor a difference between two squares.
7U2((1 + V)(1 + -1V)) = 0

Ignore the factor 7.

Subproblem 1

Set the factor 'U2' equal to zero and attempt to solve: Simplifying U2 = 0 Solving U2 = 0 Move all terms containing U to the left, all other terms to the right. Simplifying U2 = 0 Take the square root of each side: U = {0}

Subproblem 2

Set the factor '(1 + V)' equal to zero and attempt to solve: Simplifying 1 + V = 0 Solving 1 + V = 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 + V = 0 + -1 Combine like terms: 1 + -1 = 0 0 + V = 0 + -1 V = 0 + -1 Combine like terms: 0 + -1 = -1 V = -1 Add '-1V' to each side of the equation. V + -1V = -1 + -1V Combine like terms: V + -1V = 0 0 = -1 + -1V Simplifying 0 = -1 + -1V The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(1 + -1V)' equal to zero and attempt to solve: Simplifying 1 + -1V = 0 Solving 1 + -1V = 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 + -1V = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1V = 0 + -1 -1V = 0 + -1 Combine like terms: 0 + -1 = -1 -1V = -1 Add 'V' to each side of the equation. -1V + V = -1 + V Combine like terms: -1V + V = 0 0 = -1 + V Simplifying 0 = -1 + V The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

U = {0}

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