raiz(5raiz(x))=raiz(2x-3)

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Solution for raiz(5raiz(x))=raiz(2x-3) equation: 


Simplifying
raiz(5raiz(x)) = raiz(2x + -3)

Multiply airz * x
airz(5airxz) = raiz(2x + -3)

Remove parenthesis around (5airxz)
airz * 5airxz = raiz(2x + -3)

Reorder the terms for easier multiplication:
5airz * airxz = raiz(2x + -3)

Multiply airz * airxz
5a2i2r2xz2 = raiz(2x + -3)

Reorder the terms:
5a2i2r2xz2 = airz(-3 + 2x)
5a2i2r2xz2 = (-3 * airz + 2x * airz)

Reorder the terms:
5a2i2r2xz2 = (2airxz + -3airz)
5a2i2r2xz2 = (2airxz + -3airz)

Solving
5a2i2r2xz2 = 2airxz + -3airz

Solving for variable 'a'.

Reorder the terms:
-2airxz + 3airz + 5a2i2r2xz2 = 2airxz + -3airz + -2airxz + 3airz

Reorder the terms:
-2airxz + 3airz + 5a2i2r2xz2 = 2airxz + -2airxz + -3airz + 3airz

Combine like terms: 2airxz + -2airxz = 0
-2airxz + 3airz + 5a2i2r2xz2 = 0 + -3airz + 3airz
-2airxz + 3airz + 5a2i2r2xz2 = -3airz + 3airz

Combine like terms: -3airz + 3airz = 0
-2airxz + 3airz + 5a2i2r2xz2 = 0

Factor out the Greatest Common Factor (GCF), 'airz'.
airz(-2x + 3 + 5airxz) = 0


Subproblem 1
Set the factor 'airz' equal to zero and attempt to solve:

Simplifying
airz = 0

Solving
airz = 0

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

Simplifying
airz = 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 '(-2x + 3 + 5airxz)' equal to zero and attempt to solve:

Simplifying
-2x + 3 + 5airxz = 0

Reorder the terms:
3 + 5airxz + -2x = 0

Solving
3 + 5airxz + -2x = 0

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

Add '-3' to each side of the equation.
3 + 5airxz + -3 + -2x = 0 + -3

Reorder the terms:
3 + -3 + 5airxz + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5airxz + -2x = 0 + -3
5airxz + -2x = 0 + -3

Combine like terms: 0 + -3 = -3
5airxz + -2x = -3

Add '2x' to each side of the equation.
5airxz + -2x + 2x = -3 + 2x

Combine like terms: -2x + 2x = 0
5airxz + 0 = -3 + 2x
5airxz = -3 + 2x

Divide each side by '5irxz'.
a = -0.6i-1r-1x-1z-1 + 0.4i-1r-1z-1

Simplifying
a = -0.6i-1r-1x-1z-1 + 0.4i-1r-1z-1
Solution
a = {-0.6i-1r-1x-1z-1 + 0.4i-1r-1z-1}

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