(x+6)(x+9)=13

Simple and best practice solution for (x+6)(x+9)=13 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+6)(x+9)=13 equation:


Simplifying
(x + 6)(x + 9) = 13

Reorder the terms:
(6 + x)(x + 9) = 13

Reorder the terms:
(6 + x)(9 + x) = 13

Multiply (6 + x) * (9 + x)
(6(9 + x) + x(9 + x)) = 13
((9 * 6 + x * 6) + x(9 + x)) = 13
((54 + 6x) + x(9 + x)) = 13
(54 + 6x + (9 * x + x * x)) = 13
(54 + 6x + (9x + x2)) = 13

Combine like terms: 6x + 9x = 15x
(54 + 15x + x2) = 13

Solving
54 + 15x + x2 = 13

Solving for variable 'x'.

Reorder the terms:
54 + -13 + 15x + x2 = 13 + -13

Combine like terms: 54 + -13 = 41
41 + 15x + x2 = 13 + -13

Combine like terms: 13 + -13 = 0
41 + 15x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-41' to each side of the equation.
41 + 15x + -41 + x2 = 0 + -41

Reorder the terms:
41 + -41 + 15x + x2 = 0 + -41

Combine like terms: 41 + -41 = 0
0 + 15x + x2 = 0 + -41
15x + x2 = 0 + -41

Combine like terms: 0 + -41 = -41
15x + x2 = -41

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 = -41 + 56.25

Reorder the terms:
56.25 + 15x + x2 = -41 + 56.25

Combine like terms: -41 + 56.25 = 15.25
56.25 + 15x + x2 = 15.25

Factor a perfect square on the left side:
(x + 7.5)(x + 7.5) = 15.25

Calculate the square root of the right side: 3.905124838

Break this problem into two subproblems by setting 
(x + 7.5) equal to 3.905124838 and -3.905124838.

Subproblem 1

x + 7.5 = 3.905124838 Simplifying x + 7.5 = 3.905124838 Reorder the terms: 7.5 + x = 3.905124838 Solving 7.5 + x = 3.905124838 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 = 3.905124838 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + x = 3.905124838 + -7.5 x = 3.905124838 + -7.5 Combine like terms: 3.905124838 + -7.5 = -3.594875162 x = -3.594875162 Simplifying x = -3.594875162

Subproblem 2

x + 7.5 = -3.905124838 Simplifying x + 7.5 = -3.905124838 Reorder the terms: 7.5 + x = -3.905124838 Solving 7.5 + x = -3.905124838 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 = -3.905124838 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + x = -3.905124838 + -7.5 x = -3.905124838 + -7.5 Combine like terms: -3.905124838 + -7.5 = -11.405124838 x = -11.405124838 Simplifying x = -11.405124838

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-3.594875162, -11.405124838}

See similar equations:

| 4(w-1)=6w+2-2(-7w-2) | | (x+6)(x+9)=20 | | x+2x+13=100 | | -4(a+1)-3=-7(2a-3) | | (x+6)=(x+9) | | ln(x+7)+ln(x-5)=2lnx | | (3x^2+5)(3x^2+5)= | | x+7=62 | | 16-(x-7)=5x-3 | | 3(y+2)=2(y+3) | | 800x-0.35=600x+0.87 | | x^2+50x-51=0 | | (X^2-6x+1)-(-x^2-6x+5)= | | r+r+4=100 | | (10b-3)-(2b+5)= | | x^2+73x-2=0 | | 3y+2=2y-2 | | 3y+2=2y+3 | | 3y+2=2y | | 5(x+4)=7(-2) | | 3y-6+2y-2=12 | | (5a-2)+(3a+6)= | | x^2+37x+34=0 | | 3*(3+x)=27+x | | 3n^4-4n^2=-1 | | 11=.30xn | | a^4+2a^3+a^2=0 | | x^2+35x+11= | | 0.3(p-2)=5-0.6p | | 7x-14+8=5x-6+2x | | 3r^2-46r+130= | | 25j-50cj= |

Equations solver categories