x^2+10x+17=13x+5

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Solution for x^2+10x+17=13x+5 equation:


Simplifying
x2 + 10x + 17 = 13x + 5

Reorder the terms:
17 + 10x + x2 = 13x + 5

Reorder the terms:
17 + 10x + x2 = 5 + 13x

Solving
17 + 10x + x2 = 5 + 13x

Solving for variable 'x'.

Reorder the terms:
17 + -5 + 10x + -13x + x2 = 5 + 13x + -5 + -13x

Combine like terms: 17 + -5 = 12
12 + 10x + -13x + x2 = 5 + 13x + -5 + -13x

Combine like terms: 10x + -13x = -3x
12 + -3x + x2 = 5 + 13x + -5 + -13x

Reorder the terms:
12 + -3x + x2 = 5 + -5 + 13x + -13x

Combine like terms: 5 + -5 = 0
12 + -3x + x2 = 0 + 13x + -13x
12 + -3x + x2 = 13x + -13x

Combine like terms: 13x + -13x = 0
12 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -3x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + -3x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -3x + x2 = 0 + -12
-3x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
-3x + x2 = -12

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -12 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -12 + 2.25

Combine like terms: -12 + 2.25 = -9.75
2.25 + -3x + x2 = -9.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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