x^2+6x+9x=10

Simple and best practice solution for x^2+6x+9x=10 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+6x+9x=10 equation:


Simplifying
x2 + 6x + 9x = 10

Reorder the terms:
6x + 9x + x2 = 10

Combine like terms: 6x + 9x = 15x
15x + x2 = 10

Solving
15x + x2 = 10

Solving for variable 'x'.

Reorder the terms:
-10 + 15x + x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 15x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '10' to each side of the equation.
-10 + 15x + 10 + x2 = 0 + 10

Reorder the terms:
-10 + 10 + 15x + x2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 15x + x2 = 0 + 10
15x + x2 = 0 + 10

Combine like terms: 0 + 10 = 10
15x + x2 = 10

The x term is 15x.  Take half its coefficient (7.5).
Square it (56.25) and add it to both sides.

Add '56.25' to each side of the equation.
15x + 56.25 + x2 = 10 + 56.25

Reorder the terms:
56.25 + 15x + x2 = 10 + 56.25

Combine like terms: 10 + 56.25 = 66.25
56.25 + 15x + x2 = 66.25

Factor a perfect square on the left side:
(x + 7.5)(x + 7.5) = 66.25

Calculate the square root of the right side: 8.139410298

Break this problem into two subproblems by setting 
(x + 7.5) equal to 8.139410298 and -8.139410298.

Subproblem 1

x + 7.5 = 8.139410298 Simplifying x + 7.5 = 8.139410298 Reorder the terms: 7.5 + x = 8.139410298 Solving 7.5 + x = 8.139410298 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + x = 8.139410298 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + x = 8.139410298 + -7.5 x = 8.139410298 + -7.5 Combine like terms: 8.139410298 + -7.5 = 0.639410298 x = 0.639410298 Simplifying x = 0.639410298

Subproblem 2

x + 7.5 = -8.139410298 Simplifying x + 7.5 = -8.139410298 Reorder the terms: 7.5 + x = -8.139410298 Solving 7.5 + x = -8.139410298 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + x = -8.139410298 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + x = -8.139410298 + -7.5 x = -8.139410298 + -7.5 Combine like terms: -8.139410298 + -7.5 = -15.639410298 x = -15.639410298 Simplifying x = -15.639410298

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.639410298, -15.639410298}

See similar equations:

| 5y^2-4y-2y^2=3y^2-4y | | 3x(4x-3y)+y(4x-3y)= | | 10/2-5=4 | | 7x-y-2z=4 | | y^2-y-20/2y^2-8y-64 | | by-9b^3=4by-15b^3 | | 5y+18=8y | | 21=-2x+57 | | g(r)=-1-7r(6) | | 12x(-6)= | | (x-5)8=72 | | 3x+29=140 | | ax-a^2=cx-c^2 | | 6x(4x-3y)+y(4x-3y)= | | 8-1/4b=5 | | (4y+3)=0 | | 8(5+X)=7(X-7) | | .15x=1200 | | 5x-4+5x=-44 | | 510x+3y=2.5 | | 3x+172=6x+175 | | 3x-2y+6z=9 | | 8X+(2X-1)=-29 | | -x+6y-9y=4 | | 8+4x=o | | 2x-c=d | | 2x^3-11x^2-4x=0 | | 3.5x=5.8 | | Tn=10n-4 | | 7-2(2x+1)=x-5 | | 2.50/0.5 | | 30=5(r/5-3 |

Equations solver categories