x^2-3+27=6x+7

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Solution for x^2-3+27=6x+7 equation:


Simplifying
x2 + -3 + 27 = 6x + 7

Reorder the terms:
-3 + 27 + x2 = 6x + 7

Combine like terms: -3 + 27 = 24
24 + x2 = 6x + 7

Reorder the terms:
24 + x2 = 7 + 6x

Solving
24 + x2 = 7 + 6x

Solving for variable 'x'.

Reorder the terms:
24 + -7 + -6x + x2 = 7 + 6x + -7 + -6x

Combine like terms: 24 + -7 = 17
17 + -6x + x2 = 7 + 6x + -7 + -6x

Reorder the terms:
17 + -6x + x2 = 7 + -7 + 6x + -6x

Combine like terms: 7 + -7 = 0
17 + -6x + x2 = 0 + 6x + -6x
17 + -6x + x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
17 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-17' to each side of the equation.
17 + -6x + -17 + x2 = 0 + -17

Reorder the terms:
17 + -17 + -6x + x2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -6x + x2 = 0 + -17
-6x + x2 = 0 + -17

Combine like terms: 0 + -17 = -17
-6x + x2 = -17

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -17 + 9

Reorder the terms:
9 + -6x + x2 = -17 + 9

Combine like terms: -17 + 9 = -8
9 + -6x + x2 = -8

Factor a perfect square on the left side:
(x + -3)(x + -3) = -8

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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