2x^2-35x+100=0

Simple and best practice solution for 2x^2-35x+100=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 2x^2-35x+100=0 equation: 


Simplifying
2x2 + -35x + 100 = 0

Reorder the terms:
100 + -35x + 2x2 = 0

Solving
100 + -35x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
50 + -17.5x + x2 = 0

Move the constant term to the right:

Add '-50' to each side of the equation.
50 + -17.5x + -50 + x2 = 0 + -50

Reorder the terms:
50 + -50 + -17.5x + x2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -17.5x + x2 = 0 + -50
-17.5x + x2 = 0 + -50

Combine like terms: 0 + -50 = -50
-17.5x + x2 = -50

The x term is -17.5x.  Take half its coefficient (-8.75).
Square it (76.5625) and add it to both sides.

Add '76.5625' to each side of the equation.
-17.5x + 76.5625 + x2 = -50 + 76.5625

Reorder the terms:
76.5625 + -17.5x + x2 = -50 + 76.5625

Combine like terms: -50 + 76.5625 = 26.5625
76.5625 + -17.5x + x2 = 26.5625

Factor a perfect square on the left side:
(x + -8.75)(x + -8.75) = 26.5625

Calculate the square root of the right side: 5.153882032

Break this problem into two subproblems by setting 
(x + -8.75) equal to 5.153882032 and -5.153882032.


Subproblem 1
x + -8.75 = 5.153882032

Simplifying
x + -8.75 = 5.153882032

Reorder the terms:
-8.75 + x = 5.153882032

Solving
-8.75 + x = 5.153882032

Solving for variable 'x'.

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

Add '8.75' to each side of the equation.
-8.75 + 8.75 + x = 5.153882032 + 8.75

Combine like terms: -8.75 + 8.75 = 0.00
0.00 + x = 5.153882032 + 8.75
x = 5.153882032 + 8.75

Combine like terms: 5.153882032 + 8.75 = 13.903882032
x = 13.903882032

Simplifying
x = 13.903882032


Subproblem 2
x + -8.75 = -5.153882032

Simplifying
x + -8.75 = -5.153882032

Reorder the terms:
-8.75 + x = -5.153882032

Solving
-8.75 + x = -5.153882032

Solving for variable 'x'.

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

Add '8.75' to each side of the equation.
-8.75 + 8.75 + x = -5.153882032 + 8.75

Combine like terms: -8.75 + 8.75 = 0.00
0.00 + x = -5.153882032 + 8.75
x = -5.153882032 + 8.75

Combine like terms: -5.153882032 + 8.75 = 3.596117968
x = 3.596117968

Simplifying
x = 3.596117968


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {13.903882032, 3.596117968}

See similar equations:

| 37t-31=9t-7 | | 3(x-1/2)=15 | | -4/5w=-8 | | -g+9+4g=-6 | | 2y-9=6y-59 | | -16/5=8u | | 5c-74=c+6 | | (1+x^4)+(1+4y^2)=0 | | 2w-75=w-23 | | 3(1/4x)=25 | | 22y+16(8)8=6y | | 3t-(t-4)+8t= | | 2x/9=-10 | | z-5/6=z/9 | | 2s-100=s-25 | | 24+3x=3x+(7-1) | | 8c-61=6c-41 | | 7n/9=28 | | 4(x-2)=3(x+5) | | r^2-8r-21=0 | | x^2+289=27 | | p^2-9p=-8 | | w+62=2w | | 100=m+64 | | 9w+11=7w+17 | | r^2+5=-6r | | x^2=8+3x | | 2z-10=7z-65 | | x^2+4-5= | | 6.73x^2+2.63x=5.43 | | 3t-16=4t-30 | | m=p(1-DT) |

Equations solver categories