X^2+6x+9-x^2-14x+49=0

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Solution for X^2+6x+9-x^2-14x+49=0 equation:


Simplifying
X2 + 6x + 9 + -1x2 + -14x + 49 = 0

Reorder the terms:
9 + 49 + X2 + 6x + -14x + -1x2 = 0

Combine like terms: 9 + 49 = 58
58 + X2 + 6x + -14x + -1x2 = 0

Combine like terms: 6x + -14x = -8x
58 + X2 + -8x + -1x2 = 0

Solving
58 + X2 + -8x + -1x2 = 0

Solving for variable 'X'.

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

Add '-58' to each side of the equation.
58 + X2 + -8x + -58 + -1x2 = 0 + -58

Reorder the terms:
58 + -58 + X2 + -8x + -1x2 = 0 + -58

Combine like terms: 58 + -58 = 0
0 + X2 + -8x + -1x2 = 0 + -58
X2 + -8x + -1x2 = 0 + -58

Combine like terms: 0 + -58 = -58
X2 + -8x + -1x2 = -58

Add '8x' to each side of the equation.
X2 + -8x + 8x + -1x2 = -58 + 8x

Combine like terms: -8x + 8x = 0
X2 + 0 + -1x2 = -58 + 8x
X2 + -1x2 = -58 + 8x

Add 'x2' to each side of the equation.
X2 + -1x2 + x2 = -58 + 8x + x2

Combine like terms: -1x2 + x2 = 0
X2 + 0 = -58 + 8x + x2
X2 = -58 + 8x + x2

Simplifying
X2 = -58 + 8x + x2

Reorder the terms:
58 + X2 + -8x + -1x2 = -58 + 8x + x2 + 58 + -8x + -1x2

Reorder the terms:
58 + X2 + -8x + -1x2 = -58 + 58 + 8x + -8x + x2 + -1x2

Combine like terms: -58 + 58 = 0
58 + X2 + -8x + -1x2 = 0 + 8x + -8x + x2 + -1x2
58 + X2 + -8x + -1x2 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
58 + X2 + -8x + -1x2 = 0 + x2 + -1x2
58 + X2 + -8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
58 + X2 + -8x + -1x2 = 0

The solution to this equation could not be determined.

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