(x+7)(x-7)=-3x

Simple and best practice solution for (x+7)(x-7)=-3x 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+7)(x-7)=-3x equation: 


Simplifying
(x + 7)(x + -7) = -3x

Reorder the terms:
(7 + x)(x + -7) = -3x

Reorder the terms:
(7 + x)(-7 + x) = -3x

Multiply (7 + x) * (-7 + x)
(7(-7 + x) + x(-7 + x)) = -3x
((-7 * 7 + x * 7) + x(-7 + x)) = -3x
((-49 + 7x) + x(-7 + x)) = -3x
(-49 + 7x + (-7 * x + x * x)) = -3x
(-49 + 7x + (-7x + x2)) = -3x

Combine like terms: 7x + -7x = 0
(-49 + 0 + x2) = -3x
(-49 + x2) = -3x

Solving
-49 + x2 = -3x

Solving for variable 'x'.

Reorder the terms:
-49 + 3x + x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-49 + 3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '49' to each side of the equation.
-49 + 3x + 49 + x2 = 0 + 49

Reorder the terms:
-49 + 49 + 3x + x2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 3x + x2 = 0 + 49
3x + x2 = 0 + 49

Combine like terms: 0 + 49 = 49
3x + x2 = 49

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = 49 + 2.25

Reorder the terms:
2.25 + 3x + x2 = 49 + 2.25

Combine like terms: 49 + 2.25 = 51.25
2.25 + 3x + x2 = 51.25

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = 51.25

Calculate the square root of the right side: 7.158910532

Break this problem into two subproblems by setting 
(x + 1.5) equal to 7.158910532 and -7.158910532.


Subproblem 1
x + 1.5 = 7.158910532

Simplifying
x + 1.5 = 7.158910532

Reorder the terms:
1.5 + x = 7.158910532

Solving
1.5 + x = 7.158910532

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = 7.158910532 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = 7.158910532 + -1.5
x = 7.158910532 + -1.5

Combine like terms: 7.158910532 + -1.5 = 5.658910532
x = 5.658910532

Simplifying
x = 5.658910532


Subproblem 2
x + 1.5 = -7.158910532

Simplifying
x + 1.5 = -7.158910532

Reorder the terms:
1.5 + x = -7.158910532

Solving
1.5 + x = -7.158910532

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = -7.158910532 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = -7.158910532 + -1.5
x = -7.158910532 + -1.5

Combine like terms: -7.158910532 + -1.5 = -8.658910532
x = -8.658910532

Simplifying
x = -8.658910532


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.658910532, -8.658910532}

See similar equations:

| 3y(2y+4)= | | 14-8x=174-36x | | (x-4)(3x+1)= | | 4x(x+6)= | | (3+2i)/(1+5i) | | 4x(3x-3)+2x(2x+3)= | | (4+3i)(5-4i)= | | 8m=2msquared | | (9-2i)+(4+7i)= | | (4x-12y-8)-(6x+12y+6)= | | (N-4)*2=6 | | 3(3-4x)-1=68 | | =(1+a)(1+b)(1+c) | | (2x+4)(2x+1)= | | =(a+b+c)(a+b+c)(a+b+c)(a+b+c) | | 3m-8m-2m+16m-4m= | | mx+2=1 | | -(1)/5-(X+3/4)=-(2X-4) | | v=5t+u | | -3-(1+2X)/11=X-3 | | 6y-8=1 | | 11/3(x+4)+5/6(x+4) | | (11/3(x+4))+(5/6(x+4)) | | (11/3(x+4))(5/6(x+4)) | | (11/3(x+4))=(5/6(x+4)) | | 8x-3x=30x | | (2x/9)+(5/9)=(x-1)/9 | | ((2x/9)+(5/9))=((x-1/9)) | | 9a^5-3a= | | (3*-3-8)/(-3-8) | | (3*1-8)/(1-8) | | x=7/3 |

Equations solver categories