x^2+18x+63=

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Solution for x^2+18x+63= equation:


Simplifying
x2 + 18x + 63 = 0

Reorder the terms:
63 + 18x + x2 = 0

Solving
63 + 18x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-63' to each side of the equation.
63 + 18x + -63 + x2 = 0 + -63

Reorder the terms:
63 + -63 + 18x + x2 = 0 + -63

Combine like terms: 63 + -63 = 0
0 + 18x + x2 = 0 + -63
18x + x2 = 0 + -63

Combine like terms: 0 + -63 = -63
18x + x2 = -63

The x term is 18x.  Take half its coefficient (9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
18x + 81 + x2 = -63 + 81

Reorder the terms:
81 + 18x + x2 = -63 + 81

Combine like terms: -63 + 81 = 18
81 + 18x + x2 = 18

Factor a perfect square on the left side:
(x + 9)(x + 9) = 18

Calculate the square root of the right side: 4.242640687

Break this problem into two subproblems by setting 
(x + 9) equal to 4.242640687 and -4.242640687.

Subproblem 1

x + 9 = 4.242640687 Simplifying x + 9 = 4.242640687 Reorder the terms: 9 + x = 4.242640687 Solving 9 + x = 4.242640687 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 4.242640687 + -9 Combine like terms: 9 + -9 = 0 0 + x = 4.242640687 + -9 x = 4.242640687 + -9 Combine like terms: 4.242640687 + -9 = -4.757359313 x = -4.757359313 Simplifying x = -4.757359313

Subproblem 2

x + 9 = -4.242640687 Simplifying x + 9 = -4.242640687 Reorder the terms: 9 + x = -4.242640687 Solving 9 + x = -4.242640687 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = -4.242640687 + -9 Combine like terms: 9 + -9 = 0 0 + x = -4.242640687 + -9 x = -4.242640687 + -9 Combine like terms: -4.242640687 + -9 = -13.242640687 x = -13.242640687 Simplifying x = -13.242640687

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-4.757359313, -13.242640687}

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