x^2+10x+21=900

Simple and best practice solution for x^2+10x+21=900 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+10x+21=900 equation: 


Simplifying
x2 + 10x + 21 = 900

Reorder the terms:
21 + 10x + x2 = 900

Solving
21 + 10x + x2 = 900

Solving for variable 'x'.

Reorder the terms:
21 + -900 + 10x + x2 = 900 + -900

Combine like terms: 21 + -900 = -879
-879 + 10x + x2 = 900 + -900

Combine like terms: 900 + -900 = 0
-879 + 10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '879' to each side of the equation.
-879 + 10x + 879 + x2 = 0 + 879

Reorder the terms:
-879 + 879 + 10x + x2 = 0 + 879

Combine like terms: -879 + 879 = 0
0 + 10x + x2 = 0 + 879
10x + x2 = 0 + 879

Combine like terms: 0 + 879 = 879
10x + x2 = 879

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = 879 + 25

Reorder the terms:
25 + 10x + x2 = 879 + 25

Combine like terms: 879 + 25 = 904
25 + 10x + x2 = 904

Factor a perfect square on the left side:
(x + 5)(x + 5) = 904

Calculate the square root of the right side: 30.066592757

Break this problem into two subproblems by setting 
(x + 5) equal to 30.066592757 and -30.066592757.


Subproblem 1
x + 5 = 30.066592757

Simplifying
x + 5 = 30.066592757

Reorder the terms:
5 + x = 30.066592757

Solving
5 + x = 30.066592757

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + x = 30.066592757 + -5

Combine like terms: 5 + -5 = 0
0 + x = 30.066592757 + -5
x = 30.066592757 + -5

Combine like terms: 30.066592757 + -5 = 25.066592757
x = 25.066592757

Simplifying
x = 25.066592757


Subproblem 2
x + 5 = -30.066592757

Simplifying
x + 5 = -30.066592757

Reorder the terms:
5 + x = -30.066592757

Solving
5 + x = -30.066592757

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + x = -30.066592757 + -5

Combine like terms: 5 + -5 = 0
0 + x = -30.066592757 + -5
x = -30.066592757 + -5

Combine like terms: -30.066592757 + -5 = -35.066592757
x = -35.066592757

Simplifying
x = -35.066592757


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {25.066592757, -35.066592757}

See similar equations:

| x^2+10x+21=841 | | x^2+10x+21=784 | | x^2+10x+21=729 | | x^2+10x+21=676 | | x^2+10x+21=625 | | x^2+10x+21=576 | | x^2+10x+21=529 | | x^2+10x+21=484 | | x^2+10x+21=441 | | x^2+10x+21=400 | | 4x^2-72=0 | | x^2+10x+21=361 | | x^2+10x+21=324 | | x^2+10x+21=289 | | x^2+10x+21=256 | | 6(-2x)-3x=-30 | | x^2+10x+21=225 | | x^2+10x+21=196 | | 11+-11= | | x^2+10x+21=169 | | x^2+10x+21=144 | | 11+x= | | 8x+28=-23 | | x^2+10x+21=121 | | 8(x+2)=-2(3x+4) | | y*z= | | 0.5(2x+3)=0.25(8x-6) | | 25y^2-34y+9= | | -1.6*5= | | 2x^2-28x+82=0 | | 5y+8= | | 4y-8= |

Equations solver categories