49X^2-1=(7X-1)(-X^2+5)

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Solution for 49X^2-1=(7X-1)(-X^2+5) equation: 


Simplifying
49X2 + -1 = (7X + -1)(-1X2 + 5)

Reorder the terms:
-1 + 49X2 = (7X + -1)(-1X2 + 5)

Reorder the terms:
-1 + 49X2 = (-1 + 7X)(-1X2 + 5)

Reorder the terms:
-1 + 49X2 = (-1 + 7X)(5 + -1X2)

Multiply (-1 + 7X) * (5 + -1X2)
-1 + 49X2 = (-1(5 + -1X2) + 7X * (5 + -1X2))
-1 + 49X2 = ((5 * -1 + -1X2 * -1) + 7X * (5 + -1X2))
-1 + 49X2 = ((-5 + 1X2) + 7X * (5 + -1X2))
-1 + 49X2 = (-5 + 1X2 + (5 * 7X + -1X2 * 7X))
-1 + 49X2 = (-5 + 1X2 + (35X + -7X3))

Reorder the terms:
-1 + 49X2 = (-5 + 35X + 1X2 + -7X3)
-1 + 49X2 = (-5 + 35X + 1X2 + -7X3)

Solving
-1 + 49X2 = -5 + 35X + 1X2 + -7X3

Solving for variable 'X'.

Reorder the terms:
-1 + 5 + -35X + 49X2 + -1X2 + 7X3 = -5 + 35X + 1X2 + -7X3 + 5 + -35X + -1X2 + 7X3

Combine like terms: -1 + 5 = 4
4 + -35X + 49X2 + -1X2 + 7X3 = -5 + 35X + 1X2 + -7X3 + 5 + -35X + -1X2 + 7X3

Combine like terms: 49X2 + -1X2 = 48X2
4 + -35X + 48X2 + 7X3 = -5 + 35X + 1X2 + -7X3 + 5 + -35X + -1X2 + 7X3

Reorder the terms:
4 + -35X + 48X2 + 7X3 = -5 + 5 + 35X + -35X + 1X2 + -1X2 + -7X3 + 7X3

Combine like terms: -5 + 5 = 0
4 + -35X + 48X2 + 7X3 = 0 + 35X + -35X + 1X2 + -1X2 + -7X3 + 7X3
4 + -35X + 48X2 + 7X3 = 35X + -35X + 1X2 + -1X2 + -7X3 + 7X3

Combine like terms: 35X + -35X = 0
4 + -35X + 48X2 + 7X3 = 0 + 1X2 + -1X2 + -7X3 + 7X3
4 + -35X + 48X2 + 7X3 = 1X2 + -1X2 + -7X3 + 7X3

Combine like terms: 1X2 + -1X2 = 0
4 + -35X + 48X2 + 7X3 = 0 + -7X3 + 7X3
4 + -35X + 48X2 + 7X3 = -7X3 + 7X3

Combine like terms: -7X3 + 7X3 = 0
4 + -35X + 48X2 + 7X3 = 0

The solution to this equation could not be determined.

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