xsquared+vsquared=wsquared

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Solution for xsquared+vsquared=wsquared equation:


Simplifying
xsquared + vsquared = wsquared

Reorder the terms:
adeqrsuv + adeqrsux = wsquared

Solving
adeqrsuv + adeqrsux = adeqrsuw

Solving for variable 'a'.

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

Add '-1adeqrsuw' to each side of the equation.
adeqrsuv + -1adeqrsuw + adeqrsux = adeqrsuw + -1adeqrsuw

Combine like terms: adeqrsuw + -1adeqrsuw = 0
adeqrsuv + -1adeqrsuw + adeqrsux = 0

Factor out the Greatest Common Factor (GCF), 'adeqrsu'.
adeqrsu(v + -1w + x) = 0

Subproblem 1

Set the factor 'adeqrsu' equal to zero and attempt to solve: Simplifying adeqrsu = 0 Solving adeqrsu = 0 Move all terms containing a to the left, all other terms to the right. Simplifying adeqrsu = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(v + -1w + x)' equal to zero and attempt to solve: Simplifying v + -1w + x = 0 Solving v + -1w + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1v' to each side of the equation. v + -1w + -1v + x = 0 + -1v Reorder the terms: v + -1v + -1w + x = 0 + -1v Combine like terms: v + -1v = 0 0 + -1w + x = 0 + -1v -1w + x = 0 + -1v Remove the zero: -1w + x = -1v Add 'w' to each side of the equation. -1w + w + x = -1v + w Combine like terms: -1w + w = 0 0 + x = -1v + w x = -1v + w Add '-1x' to each side of the equation. x + -1x = -1v + w + -1x Combine like terms: x + -1x = 0 0 = -1v + w + -1x Simplifying 0 = -1v + w + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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