10x^2+180x-200=0

Simple and best practice solution for 10x^2+180x-200=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 10x^2+180x-200=0 equation: 


Simplifying
10x2 + 180x + -200 = 0

Reorder the terms:
-200 + 180x + 10x2 = 0

Solving
-200 + 180x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(-20 + 18x + x2) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(-20 + 18x + x2)' equal to zero and attempt to solve:

Simplifying
-20 + 18x + x2 = 0

Solving
-20 + 18x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '20' to each side of the equation.
-20 + 18x + 20 + x2 = 0 + 20

Reorder the terms:
-20 + 20 + 18x + x2 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 18x + x2 = 0 + 20
18x + x2 = 0 + 20

Combine like terms: 0 + 20 = 20
18x + x2 = 20

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 = 20 + 81

Reorder the terms:
81 + 18x + x2 = 20 + 81

Combine like terms: 20 + 81 = 101
81 + 18x + x2 = 101

Factor a perfect square on the left side:
(x + 9)(x + 9) = 101

Calculate the square root of the right side: 10.049875621

Break this problem into two subproblems by setting 
(x + 9) equal to 10.049875621 and -10.049875621.


Subproblem 1
x + 9 = 10.049875621

Simplifying
x + 9 = 10.049875621

Reorder the terms:
9 + x = 10.049875621

Solving
9 + x = 10.049875621

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 = 10.049875621 + -9

Combine like terms: 9 + -9 = 0
0 + x = 10.049875621 + -9
x = 10.049875621 + -9

Combine like terms: 10.049875621 + -9 = 1.049875621
x = 1.049875621

Simplifying
x = 1.049875621


Subproblem 2
x + 9 = -10.049875621

Simplifying
x + 9 = -10.049875621

Reorder the terms:
9 + x = -10.049875621

Solving
9 + x = -10.049875621

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 = -10.049875621 + -9

Combine like terms: 9 + -9 = 0
0 + x = -10.049875621 + -9
x = -10.049875621 + -9

Combine like terms: -10.049875621 + -9 = -19.049875621
x = -19.049875621

Simplifying
x = -19.049875621


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.049875621, -19.049875621}
Solution
x = {1.049875621, -19.049875621}

See similar equations:

| T-59/8=9/4 | | -x+5=-6 | | -8+7x=-x-96 | | 4/5(t+7)=12/5-t | | 7x-5=-61 | | -3t+1=1t+9-4t | | 17+7j=66 | | -9-2x=-33 | | 120,536/25=x | | 2+6x=4(6x+5) | | 1/2x25x18 | | 0=x^3-4x^2+4x | | -14/3--7/2= | | 3(2-4x)-7=14 | | a=1/2x25x18 | | S/7.81=11 | | 4x=-8/9 | | 3(24-5)-12=2(24-6)+3 | | 4f-24=2f-8 | | 12,100/2=x | | 6m+-5m=4 | | 10+4z=3z | | -0.6(2x+1)=7.8 | | 3(18-5)-12=2(18-6)+3 | | 25+90+x=180 | | 10-6x=-50 | | Y=-7/9(-7.6154)-7 | | 3(12-5)-12=2(12-6)+3 | | 5x+3=x+21 | | 4-4x=-36 | | 2x+3+5x=-11+6x | | 3(13-5)-12=2(13-6)+3 |

Equations solver categories