4*square(x+7)=-8+2x

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Solution for 4*square(x+7)=-8+2x equation: 


Simplifying
4square(x + 7) = -8 + 2x

Reorder the terms:
4aeqrsu(7 + x) = -8 + 2x
(7 * 4aeqrsu + x * 4aeqrsu) = -8 + 2x
(28aeqrsu + 4aeqrsux) = -8 + 2x

Solving
28aeqrsu + 4aeqrsux = -8 + 2x

Solving for variable 'a'.

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

Reorder the terms:
8 + 28aeqrsu + 4aeqrsux + -2x = -8 + 2x + 8 + -2x

Reorder the terms:
8 + 28aeqrsu + 4aeqrsux + -2x = -8 + 8 + 2x + -2x

Combine like terms: -8 + 8 = 0
8 + 28aeqrsu + 4aeqrsux + -2x = 0 + 2x + -2x
8 + 28aeqrsu + 4aeqrsux + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 28aeqrsu + 4aeqrsux + -2x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 14aeqrsu + 2aeqrsux + -1x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + 14aeqrsu + 2aeqrsux + -1x)' equal to zero and attempt to solve:

Simplifying
4 + 14aeqrsu + 2aeqrsux + -1x = 0

Solving
4 + 14aeqrsu + 2aeqrsux + -1x = 0

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

Add '-4' to each side of the equation.
4 + 14aeqrsu + 2aeqrsux + -4 + -1x = 0 + -4

Reorder the terms:
4 + -4 + 14aeqrsu + 2aeqrsux + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 14aeqrsu + 2aeqrsux + -1x = 0 + -4
14aeqrsu + 2aeqrsux + -1x = 0 + -4

Combine like terms: 0 + -4 = -4
14aeqrsu + 2aeqrsux + -1x = -4

Add 'x' to each side of the equation.
14aeqrsu + 2aeqrsux + -1x + x = -4 + x

Combine like terms: -1x + x = 0
14aeqrsu + 2aeqrsux + 0 = -4 + x
14aeqrsu + 2aeqrsux = -4 + x

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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