0=x^2+8x-163

Simple and best practice solution for 0=x^2+8x-163 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 0=x^2+8x-163 equation:


Simplifying
0 = x2 + 8x + -163

Reorder the terms:
0 = -163 + 8x + x2

Solving
0 = -163 + 8x + x2

Solving for variable 'x'.

Combine like terms: 0 + 163 = 163
163 + -8x + -1x2 = -163 + 8x + x2 + 163 + -8x + -1x2

Reorder the terms:
163 + -8x + -1x2 = -163 + 163 + 8x + -8x + x2 + -1x2

Combine like terms: -163 + 163 = 0
163 + -8x + -1x2 = 0 + 8x + -8x + x2 + -1x2
163 + -8x + -1x2 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
163 + -8x + -1x2 = 0 + x2 + -1x2
163 + -8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
163 + -8x + -1x2 = 0

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

Divide each side by '-1'.
-163 + 8x + x2 = 0

Move the constant term to the right:

Add '163' to each side of the equation.
-163 + 8x + 163 + x2 = 0 + 163

Reorder the terms:
-163 + 163 + 8x + x2 = 0 + 163

Combine like terms: -163 + 163 = 0
0 + 8x + x2 = 0 + 163
8x + x2 = 0 + 163

Combine like terms: 0 + 163 = 163
8x + x2 = 163

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = 163 + 16

Reorder the terms:
16 + 8x + x2 = 163 + 16

Combine like terms: 163 + 16 = 179
16 + 8x + x2 = 179

Factor a perfect square on the left side:
(x + 4)(x + 4) = 179

Calculate the square root of the right side: 13.37908816

Break this problem into two subproblems by setting 
(x + 4) equal to 13.37908816 and -13.37908816.

Subproblem 1

x + 4 = 13.37908816 Simplifying x + 4 = 13.37908816 Reorder the terms: 4 + x = 13.37908816 Solving 4 + x = 13.37908816 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 13.37908816 + -4 Combine like terms: 4 + -4 = 0 0 + x = 13.37908816 + -4 x = 13.37908816 + -4 Combine like terms: 13.37908816 + -4 = 9.37908816 x = 9.37908816 Simplifying x = 9.37908816

Subproblem 2

x + 4 = -13.37908816 Simplifying x + 4 = -13.37908816 Reorder the terms: 4 + x = -13.37908816 Solving 4 + x = -13.37908816 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = -13.37908816 + -4 Combine like terms: 4 + -4 = 0 0 + x = -13.37908816 + -4 x = -13.37908816 + -4 Combine like terms: -13.37908816 + -4 = -17.37908816 x = -17.37908816 Simplifying x = -17.37908816

Solution

The solution to the problem is based on the solutions from the subproblems. x = {9.37908816, -17.37908816}

See similar equations:

| 2n/5-4/11=24/55 | | -31-4x=-5-5(5+5x) | | x^3-14x^2+27=0 | | 13.45+0.13(x+3)=13.95-0.16x | | x/3-2/5 | | y=-2x^2+1 | | B+-10=0 | | A=HM | | 16m-(2+3m)= | | 2(4+y)=4(3y-2)-14 | | 8x/3=48 | | 2+x-[x-(x-1)]+(x+2)=256 | | -60+6y=30 | | 102/8.50=g | | 12+3x-8+5x=92 | | 4x(6x+y)=180 | | (2x+8)=(6x+12) | | 4x^2+16y^2-48x+128y+336=0 | | X-1(2x)(x-4)=40 | | 20x-16-12x=4(2x-5)+4 | | 12/7x=48 | | a^2+11c= | | 1.94/4=x | | -4(3)=30-7y | | -4(4n+1)=32 | | 2+y=12 | | 3+13v=-6v+3 | | 3sin(x^2)-2x=0 | | 100[0.06(y+5)]= | | (5x^3)(4xy^3)= | | y=x^2-3x^2+1 | | 2x+1y=2 |

Equations solver categories