-7x^2+14x-49=7

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Solution for -7x^2+14x-49=7 equation: 


Simplifying
-7x2 + 14x + -49 = 7

Reorder the terms:
-49 + 14x + -7x2 = 7

Solving
-49 + 14x + -7x2 = 7

Solving for variable 'x'.

Reorder the terms:
-49 + -7 + 14x + -7x2 = 7 + -7

Combine like terms: -49 + -7 = -56
-56 + 14x + -7x2 = 7 + -7

Combine like terms: 7 + -7 = 0
-56 + 14x + -7x2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(-8 + 2x + -1x2) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(-8 + 2x + -1x2)' equal to zero and attempt to solve:

Simplifying
-8 + 2x + -1x2 = 0

Solving
-8 + 2x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
8 + -2x + x2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -2x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -2x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -2x + x2 = 0 + -8
-2x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-2x + x2 = -8

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -8 + 1

Reorder the terms:
1 + -2x + x2 = -8 + 1

Combine like terms: -8 + 1 = -7
1 + -2x + x2 = -7

Factor a perfect square on the left side:
(x + -1)(x + -1) = -7

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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