(50x+2x)(70+2x)=3500

Simple and best practice solution for (50x+2x)(70+2x)=3500 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 (50x+2x)(70+2x)=3500 equation: 


Simplifying
(50x + 2x)(70 + 2x) = 3500

Combine like terms: 50x + 2x = 52x
(52x)(70 + 2x) = 3500

Remove parenthesis around (52x)
52x(70 + 2x) = 3500
(70 * 52x + 2x * 52x) = 3500
(3640x + 104x2) = 3500

Solving
3640x + 104x2 = 3500

Solving for variable 'x'.

Reorder the terms:
-3500 + 3640x + 104x2 = 3500 + -3500

Combine like terms: 3500 + -3500 = 0
-3500 + 3640x + 104x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-875 + 910x + 26x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-875 + 910x + 26x2)' equal to zero and attempt to solve:

Simplifying
-875 + 910x + 26x2 = 0

Solving
-875 + 910x + 26x2 = 0

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

Divide each side by '26'.
-33.65384615 + 35x + x2 = 0

Move the constant term to the right:

Add '33.65384615' to each side of the equation.
-33.65384615 + 35x + 33.65384615 + x2 = 0 + 33.65384615

Reorder the terms:
-33.65384615 + 33.65384615 + 35x + x2 = 0 + 33.65384615

Combine like terms: -33.65384615 + 33.65384615 = 0.00000000
0.00000000 + 35x + x2 = 0 + 33.65384615
35x + x2 = 0 + 33.65384615

Combine like terms: 0 + 33.65384615 = 33.65384615
35x + x2 = 33.65384615

The x term is 35x.  Take half its coefficient (17.5).
Square it (306.25) and add it to both sides.

Add '306.25' to each side of the equation.
35x + 306.25 + x2 = 33.65384615 + 306.25

Reorder the terms:
306.25 + 35x + x2 = 33.65384615 + 306.25

Combine like terms: 33.65384615 + 306.25 = 339.90384615
306.25 + 35x + x2 = 339.90384615

Factor a perfect square on the left side:
(x + 17.5)(x + 17.5) = 339.90384615

Calculate the square root of the right side: 18.436481393

Break this problem into two subproblems by setting 
(x + 17.5) equal to 18.436481393 and -18.436481393.


Subproblem 1
x + 17.5 = 18.436481393

Simplifying
x + 17.5 = 18.436481393

Reorder the terms:
17.5 + x = 18.436481393

Solving
17.5 + x = 18.436481393

Solving for variable 'x'.

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

Add '-17.5' to each side of the equation.
17.5 + -17.5 + x = 18.436481393 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + x = 18.436481393 + -17.5
x = 18.436481393 + -17.5

Combine like terms: 18.436481393 + -17.5 = 0.936481393
x = 0.936481393

Simplifying
x = 0.936481393


Subproblem 2
x + 17.5 = -18.436481393

Simplifying
x + 17.5 = -18.436481393

Reorder the terms:
17.5 + x = -18.436481393

Solving
17.5 + x = -18.436481393

Solving for variable 'x'.

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

Add '-17.5' to each side of the equation.
17.5 + -17.5 + x = -18.436481393 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + x = -18.436481393 + -17.5
x = -18.436481393 + -17.5

Combine like terms: -18.436481393 + -17.5 = -35.936481393
x = -35.936481393

Simplifying
x = -35.936481393


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.936481393, -35.936481393}
Solution
x = {0.936481393, -35.936481393}

See similar equations:

| 30X+3=X+6 | | 7(5x-10)=350 | | x+x+2=x+4-23 | | h-(-2)=10 | | 25+x=2(5+2x) | | 30X-3=X-6 | | 3x^2+6x+18= | | 6x-9+2x=15 | | -32-8m=-8(2m-1) | | 2145-952.50=265w | | X+.3=y | | 4.1-2.8n+3.1n=4.7 | | 15y-6=74-y | | 7x+3-11x=5-4x-2 | | X+x+2+x+4=4(x+4)-31 | | 6x-32=8x+12 | | 7t-2t^2=0 | | 6.7=3.4x-3.9x+5.7 | | 4.93-9.2v=.66v | | 62-24= | | 15x^2-33x-36=0 | | 1.6y-7.3=-0.9 | | -12+3n=7n+8n | | 3x+5=4+3y | | 8x+19+9x+9=180 | | x^2+4x-62=0 | | -9+[-5-3n]=13 | | -6+3x=x-2+4x | | e^4t=112 | | (x+x+2)+8=3(x+4)-11 | | 2n^4-5n^2-63=0 | | [-2+2m]+10=24 |

Equations solver categories