4(x-10)squared+6=42

Solution for 4(x-10)squared+6=42 equation:

Simplifying
4(x + -10) * squared + 6 = 42

Reorder the terms:
4(-10 + x) * squared + 6 = 42

Reorder the terms for easier multiplication:
4adeqrsu(-10 + x) + 6 = 42
(-10 * 4adeqrsu + x * 4adeqrsu) + 6 = 42
(-40adeqrsu + 4adeqrsux) + 6 = 42

Reorder the terms:
6 + -40adeqrsu + 4adeqrsux = 42

Solving
6 + -40adeqrsu + 4adeqrsux = 42

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 + -40adeqrsu + -6 + 4adeqrsux = 42 + -6

Reorder the terms:
6 + -6 + -40adeqrsu + 4adeqrsux = 42 + -6

Combine like terms: 6 + -6 = 0
0 + -40adeqrsu + 4adeqrsux = 42 + -6
-40adeqrsu + 4adeqrsux = 42 + -6

Combine like terms: 42 + -6 = 36
-40adeqrsu + 4adeqrsux = 36

Reorder the terms:
-36 + -40adeqrsu + 4adeqrsux = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + -40adeqrsu + 4adeqrsux = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-9 + -10adeqrsu + adeqrsux) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-9 + -10adeqrsu + adeqrsux)' equal to zero and attempt to solve:

Simplifying
-9 + -10adeqrsu + adeqrsux = 0

Solving
-9 + -10adeqrsu + adeqrsux = 0

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

Add '9' to each side of the equation.
-9 + -10adeqrsu + 9 + adeqrsux = 0 + 9

Reorder the terms:
-9 + 9 + -10adeqrsu + adeqrsux = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -10adeqrsu + adeqrsux = 0 + 9
-10adeqrsu + adeqrsux = 0 + 9

Combine like terms: 0 + 9 = 9
-10adeqrsu + adeqrsux = 9

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.