x+(45+2x)(35+2x)=0

Simple and best practice solution for x+(45+2x)(35+2x)=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 x+(45+2x)(35+2x)=0 equation: 


Simplifying
x + (45 + 2x)(35 + 2x) = 0

Multiply (45 + 2x) * (35 + 2x)
x + (45(35 + 2x) + 2x * (35 + 2x)) = 0
x + ((35 * 45 + 2x * 45) + 2x * (35 + 2x)) = 0
x + ((1575 + 90x) + 2x * (35 + 2x)) = 0
x + (1575 + 90x + (35 * 2x + 2x * 2x)) = 0
x + (1575 + 90x + (70x + 4x2)) = 0

Combine like terms: 90x + 70x = 160x
x + (1575 + 160x + 4x2) = 0

Reorder the terms:
1575 + x + 160x + 4x2 = 0

Combine like terms: x + 160x = 161x
1575 + 161x + 4x2 = 0

Solving
1575 + 161x + 4x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
393.75 + 40.25x + x2 = 0

Move the constant term to the right:

Add '-393.75' to each side of the equation.
393.75 + 40.25x + -393.75 + x2 = 0 + -393.75

Reorder the terms:
393.75 + -393.75 + 40.25x + x2 = 0 + -393.75

Combine like terms: 393.75 + -393.75 = 0.00
0.00 + 40.25x + x2 = 0 + -393.75
40.25x + x2 = 0 + -393.75

Combine like terms: 0 + -393.75 = -393.75
40.25x + x2 = -393.75

The x term is 40.25x.  Take half its coefficient (20.125).
Square it (405.015625) and add it to both sides.

Add '405.015625' to each side of the equation.
40.25x + 405.015625 + x2 = -393.75 + 405.015625

Reorder the terms:
405.015625 + 40.25x + x2 = -393.75 + 405.015625

Combine like terms: -393.75 + 405.015625 = 11.265625
405.015625 + 40.25x + x2 = 11.265625

Factor a perfect square on the left side:
(x + 20.125)(x + 20.125) = 11.265625

Calculate the square root of the right side: 3.356430396

Break this problem into two subproblems by setting 
(x + 20.125) equal to 3.356430396 and -3.356430396.


Subproblem 1
x + 20.125 = 3.356430396

Simplifying
x + 20.125 = 3.356430396

Reorder the terms:
20.125 + x = 3.356430396

Solving
20.125 + x = 3.356430396

Solving for variable 'x'.

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

Add '-20.125' to each side of the equation.
20.125 + -20.125 + x = 3.356430396 + -20.125

Combine like terms: 20.125 + -20.125 = 0.000
0.000 + x = 3.356430396 + -20.125
x = 3.356430396 + -20.125

Combine like terms: 3.356430396 + -20.125 = -16.768569604
x = -16.768569604

Simplifying
x = -16.768569604


Subproblem 2
x + 20.125 = -3.356430396

Simplifying
x + 20.125 = -3.356430396

Reorder the terms:
20.125 + x = -3.356430396

Solving
20.125 + x = -3.356430396

Solving for variable 'x'.

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

Add '-20.125' to each side of the equation.
20.125 + -20.125 + x = -3.356430396 + -20.125

Combine like terms: 20.125 + -20.125 = 0.000
0.000 + x = -3.356430396 + -20.125
x = -3.356430396 + -20.125

Combine like terms: -3.356430396 + -20.125 = -23.481430396
x = -23.481430396

Simplifying
x = -23.481430396


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-16.768569604, -23.481430396}

See similar equations:

| 6=4y-y | | (x)(x+2)=224 | | 3X-4Z+7= | | 0=x^3+x^2-6x-30 | | (3c)*1= | | x^3+x^2-6x=30 | | 5.1(2+x)=10.2 | | (3c)= | | 7s+2=4(d+2) | | x^3+x^2-6x-30=0 | | 6-7x=5x-10x-6 | | 3(.3+4)+4=-1-4(x+3) | | 7p^2=38p+-15 | | 9(13)+27=6(13)+66 | | 593+y=720 | | 2X-5Z-20= | | 7(y-12)=-147 | | 0=-16t^2-55t+10 | | 96.36=3s+17.94 | | -14-x=4x | | t=3s+17.94 | | y=-2+(x+1) | | 5-2m=1 | | 5(1d-4)+2=2(1d+2)-4 | | 2x^3-9x^2+kx-13=0 | | 2r=5x-3y | | 4u=88 | | 1.8=19.8 | | 412+x=540 | | 2a-8=0 | | -150x+2200=110x+250 | | 10x-168=57+x |

Equations solver categories