784X^2+12992x+53824=1936(x^2+25)

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Solution for 784X^2+12992x+53824=1936(x^2+25) equation: 


Simplifying
784X2 + 12992x + 53824 = 1936(x2 + 25)

Reorder the terms:
53824 + 784X2 + 12992x = 1936(x2 + 25)

Reorder the terms:
53824 + 784X2 + 12992x = 1936(25 + x2)
53824 + 784X2 + 12992x = (25 * 1936 + x2 * 1936)
53824 + 784X2 + 12992x = (48400 + 1936x2)

Solving
53824 + 784X2 + 12992x = 48400 + 1936x2

Solving for variable 'X'.

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

Add '-53824' to each side of the equation.
53824 + 784X2 + -53824 + 12992x = 48400 + -53824 + 1936x2

Reorder the terms:
53824 + -53824 + 784X2 + 12992x = 48400 + -53824 + 1936x2

Combine like terms: 53824 + -53824 = 0
0 + 784X2 + 12992x = 48400 + -53824 + 1936x2
784X2 + 12992x = 48400 + -53824 + 1936x2

Combine like terms: 48400 + -53824 = -5424
784X2 + 12992x = -5424 + 1936x2

Add '-12992x' to each side of the equation.
784X2 + 12992x + -12992x = -5424 + -12992x + 1936x2

Combine like terms: 12992x + -12992x = 0
784X2 + 0 = -5424 + -12992x + 1936x2
784X2 = -5424 + -12992x + 1936x2

Divide each side by '784'.
X2 = -6.918367347 + -16.57142857x + 2.469387755x2

Simplifying
X2 = -6.918367347 + -16.57142857x + 2.469387755x2

Reorder the terms:
6.918367347 + X2 + 16.57142857x + -2.469387755x2 = -6.918367347 + -16.57142857x + 2.469387755x2 + 6.918367347 + 16.57142857x + -2.469387755x2

Reorder the terms:
6.918367347 + X2 + 16.57142857x + -2.469387755x2 = -6.918367347 + 6.918367347 + -16.57142857x + 16.57142857x + 2.469387755x2 + -2.469387755x2

Combine like terms: -6.918367347 + 6.918367347 = 0.000000000
6.918367347 + X2 + 16.57142857x + -2.469387755x2 = 0.000000000 + -16.57142857x + 16.57142857x + 2.469387755x2 + -2.469387755x2
6.918367347 + X2 + 16.57142857x + -2.469387755x2 = -16.57142857x + 16.57142857x + 2.469387755x2 + -2.469387755x2

Combine like terms: -16.57142857x + 16.57142857x = 0.00000000
6.918367347 + X2 + 16.57142857x + -2.469387755x2 = 0.00000000 + 2.469387755x2 + -2.469387755x2
6.918367347 + X2 + 16.57142857x + -2.469387755x2 = 2.469387755x2 + -2.469387755x2

Combine like terms: 2.469387755x2 + -2.469387755x2 = 0.000000000
6.918367347 + X2 + 16.57142857x + -2.469387755x2 = 0.000000000

The solution to this equation could not be determined.

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