161x^2+56x+sqrt(7x^2-3)-48=0

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Solution for 161x^2+56x+sqrt(7x^2-3)-48=0 equation:


Simplifying
161x2 + 56x + sqrt(7x2 + -3) + -48 = 0

Reorder the terms:
161x2 + 56x + qrst(-3 + 7x2) + -48 = 0
161x2 + 56x + (-3 * qrst + 7x2 * qrst) + -48 = 0
161x2 + 56x + (-3qrst + 7qrstx2) + -48 = 0

Reorder the terms:
-48 + -3qrst + 7qrstx2 + 56x + 161x2 = 0

Solving
-48 + -3qrst + 7qrstx2 + 56x + 161x2 = 0

Solving for variable 'q'.

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

Add '48' to each side of the equation.
-48 + -3qrst + 7qrstx2 + 56x + 48 + 161x2 = 0 + 48

Reorder the terms:
-48 + 48 + -3qrst + 7qrstx2 + 56x + 161x2 = 0 + 48

Combine like terms: -48 + 48 = 0
0 + -3qrst + 7qrstx2 + 56x + 161x2 = 0 + 48
-3qrst + 7qrstx2 + 56x + 161x2 = 0 + 48

Combine like terms: 0 + 48 = 48
-3qrst + 7qrstx2 + 56x + 161x2 = 48

Add '-56x' to each side of the equation.
-3qrst + 7qrstx2 + 56x + -56x + 161x2 = 48 + -56x

Combine like terms: 56x + -56x = 0
-3qrst + 7qrstx2 + 0 + 161x2 = 48 + -56x
-3qrst + 7qrstx2 + 161x2 = 48 + -56x

Add '-161x2' to each side of the equation.
-3qrst + 7qrstx2 + 161x2 + -161x2 = 48 + -56x + -161x2

Combine like terms: 161x2 + -161x2 = 0
-3qrst + 7qrstx2 + 0 = 48 + -56x + -161x2
-3qrst + 7qrstx2 = 48 + -56x + -161x2

Reorder the terms:
-48 + -3qrst + 7qrstx2 + 56x + 161x2 = 48 + -56x + -161x2 + -48 + 56x + 161x2

Reorder the terms:
-48 + -3qrst + 7qrstx2 + 56x + 161x2 = 48 + -48 + -56x + 56x + -161x2 + 161x2

Combine like terms: 48 + -48 = 0
-48 + -3qrst + 7qrstx2 + 56x + 161x2 = 0 + -56x + 56x + -161x2 + 161x2
-48 + -3qrst + 7qrstx2 + 56x + 161x2 = -56x + 56x + -161x2 + 161x2

Combine like terms: -56x + 56x = 0
-48 + -3qrst + 7qrstx2 + 56x + 161x2 = 0 + -161x2 + 161x2
-48 + -3qrst + 7qrstx2 + 56x + 161x2 = -161x2 + 161x2

Combine like terms: -161x2 + 161x2 = 0
-48 + -3qrst + 7qrstx2 + 56x + 161x2 = 0

The solution to this equation could not be determined.

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