x^2-13x+16=-7x+2

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Solution for x^2-13x+16=-7x+2 equation:


Simplifying
x2 + -13x + 16 = -7x + 2

Reorder the terms:
16 + -13x + x2 = -7x + 2

Reorder the terms:
16 + -13x + x2 = 2 + -7x

Solving
16 + -13x + x2 = 2 + -7x

Solving for variable 'x'.

Reorder the terms:
16 + -2 + -13x + 7x + x2 = 2 + -7x + -2 + 7x

Combine like terms: 16 + -2 = 14
14 + -13x + 7x + x2 = 2 + -7x + -2 + 7x

Combine like terms: -13x + 7x = -6x
14 + -6x + x2 = 2 + -7x + -2 + 7x

Reorder the terms:
14 + -6x + x2 = 2 + -2 + -7x + 7x

Combine like terms: 2 + -2 = 0
14 + -6x + x2 = 0 + -7x + 7x
14 + -6x + x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
14 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + -6x + -14 + x2 = 0 + -14

Reorder the terms:
14 + -14 + -6x + x2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -6x + x2 = 0 + -14
-6x + x2 = 0 + -14

Combine like terms: 0 + -14 = -14
-6x + x2 = -14

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 = -14 + 9

Reorder the terms:
9 + -6x + x2 = -14 + 9

Combine like terms: -14 + 9 = -5
9 + -6x + x2 = -5

Factor a perfect square on the left side:
(x + -3)(x + -3) = -5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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