(x-3)squared+12squared=13squared

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Solution for (x-3)squared+12squared=13squared equation:


Simplifying
(x + -3) * squared + 12squared = 13squared

Reorder the terms:
(-3 + x) * squared + 12squared = 13squared

Reorder the terms for easier multiplication:
adeqrsu(-3 + x) + 12squared = 13squared
(-3 * adeqrsu + x * adeqrsu) + 12squared = 13squared
(-3adeqrsu + adeqrsux) + 12squared = 13squared

Reorder the terms:
-3adeqrsu + 12adeqrsu + adeqrsux = 13squared

Combine like terms: -3adeqrsu + 12adeqrsu = 9adeqrsu
9adeqrsu + adeqrsux = 13squared

Solving
9adeqrsu + adeqrsux = 13adeqrsu

Solving for variable 'a'.

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

Add '-13adeqrsu' to each side of the equation.
9adeqrsu + -13adeqrsu + adeqrsux = 13adeqrsu + -13adeqrsu

Combine like terms: 9adeqrsu + -13adeqrsu = -4adeqrsu
-4adeqrsu + adeqrsux = 13adeqrsu + -13adeqrsu

Combine like terms: 13adeqrsu + -13adeqrsu = 0
-4adeqrsu + adeqrsux = 0

Factor out the Greatest Common Factor (GCF), 'adeqrsu'.
adeqrsu(-4 + 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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Add '-1x' to each side of the equation. x + -1x = 4 + -1x Combine like terms: x + -1x = 0 0 = 4 + -1x Simplifying 0 = 4 + -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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