x^2+5x-138=0

Simple and best practice solution for x^2+5x-138=0 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 x^2+5x-138=0 equation: 


Simplifying
x2 + 5x + -138 = 0

Reorder the terms:
-138 + 5x + x2 = 0

Solving
-138 + 5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '138' to each side of the equation.
-138 + 5x + 138 + x2 = 0 + 138

Reorder the terms:
-138 + 138 + 5x + x2 = 0 + 138

Combine like terms: -138 + 138 = 0
0 + 5x + x2 = 0 + 138
5x + x2 = 0 + 138

Combine like terms: 0 + 138 = 138
5x + x2 = 138

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = 138 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 138 + 6.25

Combine like terms: 138 + 6.25 = 144.25
6.25 + 5x + x2 = 144.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 144.25

Calculate the square root of the right side: 12.010412149

Break this problem into two subproblems by setting 
(x + 2.5) equal to 12.010412149 and -12.010412149.


Subproblem 1
x + 2.5 = 12.010412149

Simplifying
x + 2.5 = 12.010412149

Reorder the terms:
2.5 + x = 12.010412149

Solving
2.5 + x = 12.010412149

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = 12.010412149 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 12.010412149 + -2.5
x = 12.010412149 + -2.5

Combine like terms: 12.010412149 + -2.5 = 9.510412149
x = 9.510412149

Simplifying
x = 9.510412149


Subproblem 2
x + 2.5 = -12.010412149

Simplifying
x + 2.5 = -12.010412149

Reorder the terms:
2.5 + x = -12.010412149

Solving
2.5 + x = -12.010412149

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = -12.010412149 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -12.010412149 + -2.5
x = -12.010412149 + -2.5

Combine like terms: -12.010412149 + -2.5 = -14.510412149
x = -14.510412149

Simplifying
x = -14.510412149


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {9.510412149, -14.510412149}

See similar equations:

| x+1=x^2-25-25x | | -49-6m=5+10(1-7m) | | 2x+18+3x-18=55 | | 4a-8=4-6a | | 17.3=3.2+x | | X+8=28-3x | | (5y+1)(2y-7)= | | -42=7-7x | | 5g+3=2g+9 | | 2(2x-70)=-(3x-35) | | -9x-45=-3x+87 | | 1=x(1-1.1) | | 3+x*4=-x*8 | | 4x^2+32x+1044=0 | | x^2+16x+10=7x-4 | | 32=x+x+5 | | 8j+4j=9j-6 | | 6x-108=126-7x | | x^2+x-2+x-2=x-9+x-9 | | 5=1+p | | (3-4a)(7-5a)= | | 2.25x+1.25t=13.50 | | 4(2)(g)+4(9)30=109 | | 5-2[6-(8y-2)]= | | -12+9x=7x+18 | | 2x+3-4X+1=6 | | 9y-2(3y-30)=y+80 | | 38+2a+54= | | 2(x+50)-6=4(3x+20) | | 18-25n=10 | | 41000000+b=56000000 | | 5-2x=19-5x |

Equations solver categories