X^2-6(x-7)+7=6x-7(7-x)

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Solution for X^2-6(x-7)+7=6x-7(7-x) equation: 


Simplifying
X2 + -6(x + -7) + 7 = 6x + -7(7 + -1x)

Reorder the terms:
X2 + -6(-7 + x) + 7 = 6x + -7(7 + -1x)
X2 + (-7 * -6 + x * -6) + 7 = 6x + -7(7 + -1x)
X2 + (42 + -6x) + 7 = 6x + -7(7 + -1x)

Reorder the terms:
42 + 7 + X2 + -6x = 6x + -7(7 + -1x)

Combine like terms: 42 + 7 = 49
49 + X2 + -6x = 6x + -7(7 + -1x)
49 + X2 + -6x = 6x + (7 * -7 + -1x * -7)
49 + X2 + -6x = 6x + (-49 + 7x)

Reorder the terms:
49 + X2 + -6x = -49 + 6x + 7x

Combine like terms: 6x + 7x = 13x
49 + X2 + -6x = -49 + 13x

Solving
49 + X2 + -6x = -49 + 13x

Solving for variable 'X'.

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

Add '-49' to each side of the equation.
49 + X2 + -49 + -6x = -49 + -49 + 13x

Reorder the terms:
49 + -49 + X2 + -6x = -49 + -49 + 13x

Combine like terms: 49 + -49 = 0
0 + X2 + -6x = -49 + -49 + 13x
X2 + -6x = -49 + -49 + 13x

Combine like terms: -49 + -49 = -98
X2 + -6x = -98 + 13x

Add '6x' to each side of the equation.
X2 + -6x + 6x = -98 + 13x + 6x

Combine like terms: -6x + 6x = 0
X2 + 0 = -98 + 13x + 6x
X2 = -98 + 13x + 6x

Combine like terms: 13x + 6x = 19x
X2 = -98 + 19x

Simplifying
X2 = -98 + 19x

Reorder the terms:
98 + X2 + -19x = -98 + 19x + 98 + -19x

Reorder the terms:
98 + X2 + -19x = -98 + 98 + 19x + -19x

Combine like terms: -98 + 98 = 0
98 + X2 + -19x = 0 + 19x + -19x
98 + X2 + -19x = 19x + -19x

Combine like terms: 19x + -19x = 0
98 + X2 + -19x = 0

The solution to this equation could not be determined.

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