x^2+198=2(x+7)(X-3)

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Solution for x^2+198=2(x+7)(X-3) equation:


Simplifying
x2 + 198 = 2(x + 7)(X + -3)

Reorder the terms:
198 + x2 = 2(x + 7)(X + -3)

Reorder the terms:
198 + x2 = 2(7 + x)(X + -3)

Reorder the terms:
198 + x2 = 2(7 + x)(-3 + X)

Multiply (7 + x) * (-3 + X)
198 + x2 = 2(7(-3 + X) + x(-3 + X))
198 + x2 = 2((-3 * 7 + X * 7) + x(-3 + X))
198 + x2 = 2((-21 + 7X) + x(-3 + X))
198 + x2 = 2(-21 + 7X + (-3 * x + X * x))
198 + x2 = 2(-21 + 7X + (-3x + xX))
198 + x2 = 2(-21 + 7X + -3x + xX)
198 + x2 = (-21 * 2 + 7X * 2 + -3x * 2 + xX * 2)
198 + x2 = (-42 + 14X + -6x + 2xX)

Solving
198 + x2 = -42 + 14X + -6x + 2xX

Solving for variable 'x'.

Reorder the terms:
198 + 42 + -14X + 6x + -2xX + x2 = -42 + 14X + -6x + 2xX + 42 + -14X + 6x + -2xX

Combine like terms: 198 + 42 = 240
240 + -14X + 6x + -2xX + x2 = -42 + 14X + -6x + 2xX + 42 + -14X + 6x + -2xX

Reorder the terms:
240 + -14X + 6x + -2xX + x2 = -42 + 42 + 14X + -14X + -6x + 6x + 2xX + -2xX

Combine like terms: -42 + 42 = 0
240 + -14X + 6x + -2xX + x2 = 0 + 14X + -14X + -6x + 6x + 2xX + -2xX
240 + -14X + 6x + -2xX + x2 = 14X + -14X + -6x + 6x + 2xX + -2xX

Combine like terms: 14X + -14X = 0
240 + -14X + 6x + -2xX + x2 = 0 + -6x + 6x + 2xX + -2xX
240 + -14X + 6x + -2xX + x2 = -6x + 6x + 2xX + -2xX

Combine like terms: -6x + 6x = 0
240 + -14X + 6x + -2xX + x2 = 0 + 2xX + -2xX
240 + -14X + 6x + -2xX + x2 = 2xX + -2xX

Combine like terms: 2xX + -2xX = 0
240 + -14X + 6x + -2xX + x2 = 0

The solution to this equation could not be determined.

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