12spuared+16squared=csquared

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Solution for 12spuared+16squared=csquared equation:


Simplifying
12spuared + 16squared = csquared

Solving
12adeprsu + 16adeqrsu = acdeqrsu

Solving for variable 'a'.

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

Add '-1acdeqrsu' to each side of the equation.
12adeprsu + -1acdeqrsu + 16adeqrsu = acdeqrsu + -1acdeqrsu

Reorder the terms:
-1acdeqrsu + 12adeprsu + 16adeqrsu = acdeqrsu + -1acdeqrsu

Combine like terms: acdeqrsu + -1acdeqrsu = 0
-1acdeqrsu + 12adeprsu + 16adeqrsu = 0

Factor out the Greatest Common Factor (GCF), 'adersu'.
adersu(-1cq + 12p + 16q) = 0

Subproblem 1

Set the factor 'adersu' equal to zero and attempt to solve: Simplifying adersu = 0 Solving adersu = 0 Move all terms containing a to the left, all other terms to the right. Simplifying adersu = 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 '(-1cq + 12p + 16q)' equal to zero and attempt to solve: Simplifying -1cq + 12p + 16q = 0 Solving -1cq + 12p + 16q = 0 Move all terms containing a to the left, all other terms to the right. Add 'cq' to each side of the equation. -1cq + 12p + cq + 16q = 0 + cq Reorder the terms: -1cq + cq + 12p + 16q = 0 + cq Combine like terms: -1cq + cq = 0 0 + 12p + 16q = 0 + cq 12p + 16q = 0 + cq Remove the zero: 12p + 16q = cq Add '-12p' to each side of the equation. 12p + -12p + 16q = cq + -12p Combine like terms: 12p + -12p = 0 0 + 16q = cq + -12p 16q = cq + -12p Add '-16q' to each side of the equation. 16q + -16q = cq + -12p + -16q Combine like terms: 16q + -16q = 0 0 = cq + -12p + -16q Simplifying 0 = cq + -12p + -16q 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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