x^2-15x-1x+6=

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Solution for x^2-15x-1x+6= equation:


Simplifying
x2 + -15x + -1x + 6 = 0

Reorder the terms:
6 + -15x + -1x + x2 = 0

Combine like terms: -15x + -1x = -16x
6 + -16x + x2 = 0

Solving
6 + -16x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -16x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -16x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -16x + x2 = 0 + -6
-16x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-16x + x2 = -6

The x term is -16x.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16x + 64 + x2 = -6 + 64

Reorder the terms:
64 + -16x + x2 = -6 + 64

Combine like terms: -6 + 64 = 58
64 + -16x + x2 = 58

Factor a perfect square on the left side:
(x + -8)(x + -8) = 58

Calculate the square root of the right side: 7.615773106

Break this problem into two subproblems by setting 
(x + -8) equal to 7.615773106 and -7.615773106.

Subproblem 1

x + -8 = 7.615773106 Simplifying x + -8 = 7.615773106 Reorder the terms: -8 + x = 7.615773106 Solving -8 + x = 7.615773106 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 7.615773106 + 8 Combine like terms: -8 + 8 = 0 0 + x = 7.615773106 + 8 x = 7.615773106 + 8 Combine like terms: 7.615773106 + 8 = 15.615773106 x = 15.615773106 Simplifying x = 15.615773106

Subproblem 2

x + -8 = -7.615773106 Simplifying x + -8 = -7.615773106 Reorder the terms: -8 + x = -7.615773106 Solving -8 + x = -7.615773106 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = -7.615773106 + 8 Combine like terms: -8 + 8 = 0 0 + x = -7.615773106 + 8 x = -7.615773106 + 8 Combine like terms: -7.615773106 + 8 = 0.384226894 x = 0.384226894 Simplifying x = 0.384226894

Solution

The solution to the problem is based on the solutions from the subproblems. x = {15.615773106, 0.384226894}

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