x^2+20x-90=180

Simple and best practice solution for x^2+20x-90=180 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+20x-90=180 equation: 


Simplifying
x2 + 20x + -90 = 180

Reorder the terms:
-90 + 20x + x2 = 180

Solving
-90 + 20x + x2 = 180

Solving for variable 'x'.

Reorder the terms:
-90 + -180 + 20x + x2 = 180 + -180

Combine like terms: -90 + -180 = -270
-270 + 20x + x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-270 + 20x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '270' to each side of the equation.
-270 + 20x + 270 + x2 = 0 + 270

Reorder the terms:
-270 + 270 + 20x + x2 = 0 + 270

Combine like terms: -270 + 270 = 0
0 + 20x + x2 = 0 + 270
20x + x2 = 0 + 270

Combine like terms: 0 + 270 = 270
20x + x2 = 270

The x term is 20x.  Take half its coefficient (10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
20x + 100 + x2 = 270 + 100

Reorder the terms:
100 + 20x + x2 = 270 + 100

Combine like terms: 270 + 100 = 370
100 + 20x + x2 = 370

Factor a perfect square on the left side:
(x + 10)(x + 10) = 370

Calculate the square root of the right side: 19.235384062

Break this problem into two subproblems by setting 
(x + 10) equal to 19.235384062 and -19.235384062.


Subproblem 1
x + 10 = 19.235384062

Simplifying
x + 10 = 19.235384062

Reorder the terms:
10 + x = 19.235384062

Solving
10 + x = 19.235384062

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + x = 19.235384062 + -10

Combine like terms: 10 + -10 = 0
0 + x = 19.235384062 + -10
x = 19.235384062 + -10

Combine like terms: 19.235384062 + -10 = 9.235384062
x = 9.235384062

Simplifying
x = 9.235384062


Subproblem 2
x + 10 = -19.235384062

Simplifying
x + 10 = -19.235384062

Reorder the terms:
10 + x = -19.235384062

Solving
10 + x = -19.235384062

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + x = -19.235384062 + -10

Combine like terms: 10 + -10 = 0
0 + x = -19.235384062 + -10
x = -19.235384062 + -10

Combine like terms: -19.235384062 + -10 = -29.235384062
x = -29.235384062

Simplifying
x = -29.235384062


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {9.235384062, -29.235384062}

See similar equations:

| 4+2v=6 | | Y-3/7=9/14 | | 7x+8=2x-17 | | (4t+9)(t-8)=0 | | 2m^2-m-23=5 | | x-29=-x+7 | | 7.5x+1.2=-2.7 | | (5x+2)(3x+4)=0 | | logx27=3/2 | | v=4/3×pixd/2^3 | | 3m=-78 | | m+7m-7m-5= | | 2-3p=4(12p)+6p | | 2(x-2)=36 | | -12v^2-5v-5=0 | | 2(x-2)+x=36 | | -x-40=7x | | x-25+3=9 | | 6(x-3)-9(x+2)= | | 5x+7=2y | | -13x-7=3x+233 | | -5x+10=-8x-2 | | x-(.4*(1-x))=0 | | 10x-3x+96=10x+39 | | 5(2y-5)-6=9 | | 6x-5(3x+7)=-134 | | 4(x-2)+x=x-40 | | -2x-3(4+-0.6666666667x)=-12 | | ((1-x)*.4)+(x)=0 | | k+9=6 | | -3y=2x-12 | | 7+5m=5m+2-2m+9 |

Equations solver categories