2(x-3)squared-6=26

Solution for 2(x-3)squared-6=26 equation:

Simplifying
2(x + -3) * squared + -6 = 26

Reorder the terms:
2(-3 + x) * squared + -6 = 26

Reorder the terms for easier multiplication:
2adeqrsu(-3 + x) + -6 = 26
(-3 * 2adeqrsu + x * 2adeqrsu) + -6 = 26
(-6adeqrsu + 2adeqrsux) + -6 = 26

Reorder the terms:
-6 + -6adeqrsu + 2adeqrsux = 26

Solving
-6 + -6adeqrsu + 2adeqrsux = 26

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + -6adeqrsu + 6 + 2adeqrsux = 26 + 6

Reorder the terms:
-6 + 6 + -6adeqrsu + 2adeqrsux = 26 + 6

Combine like terms: -6 + 6 = 0
0 + -6adeqrsu + 2adeqrsux = 26 + 6
-6adeqrsu + 2adeqrsux = 26 + 6

Combine like terms: 26 + 6 = 32
-6adeqrsu + 2adeqrsux = 32

Reorder the terms:
-32 + -6adeqrsu + 2adeqrsux = 32 + -32

Combine like terms: 32 + -32 = 0
-32 + -6adeqrsu + 2adeqrsux = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-16 + -3adeqrsu + adeqrsux) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-16 + -3adeqrsu + adeqrsux)' equal to zero and attempt to solve:

Simplifying
-16 + -3adeqrsu + adeqrsux = 0

Solving
-16 + -3adeqrsu + adeqrsux = 0

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

Add '16' to each side of the equation.
-16 + -3adeqrsu + 16 + adeqrsux = 0 + 16

Reorder the terms:
-16 + 16 + -3adeqrsu + adeqrsux = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -3adeqrsu + adeqrsux = 0 + 16
-3adeqrsu + adeqrsux = 0 + 16

Combine like terms: 0 + 16 = 16
-3adeqrsu + adeqrsux = 16

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.