56-4rt(7x^2+4)=54

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Solution for 56-4rt(7x^2+4)=54 equation: 


Simplifying
56 + -4rt(7x2 + 4) = 54

Reorder the terms:
56 + -4rt(4 + 7x2) = 54
56 + (4 * -4rt + 7x2 * -4rt) = 54
56 + (-16rt + -28rtx2) = 54

Solving
56 + -16rt + -28rtx2 = 54

Solving for variable 'r'.

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

Add '-56' to each side of the equation.
56 + -16rt + -56 + -28rtx2 = 54 + -56

Reorder the terms:
56 + -56 + -16rt + -28rtx2 = 54 + -56

Combine like terms: 56 + -56 = 0
0 + -16rt + -28rtx2 = 54 + -56
-16rt + -28rtx2 = 54 + -56

Combine like terms: 54 + -56 = -2
-16rt + -28rtx2 = -2

Reorder the terms:
2 + -16rt + -28rtx2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -16rt + -28rtx2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -8rt + -14rtx2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + -8rt + -14rtx2)' equal to zero and attempt to solve:

Simplifying
1 + -8rt + -14rtx2 = 0

Solving
1 + -8rt + -14rtx2 = 0

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

Add '-1' to each side of the equation.
1 + -8rt + -1 + -14rtx2 = 0 + -1

Reorder the terms:
1 + -1 + -8rt + -14rtx2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8rt + -14rtx2 = 0 + -1
-8rt + -14rtx2 = 0 + -1

Combine like terms: 0 + -1 = -1
-8rt + -14rtx2 = -1

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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