2x^2+x=100

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


Simplifying
2x2 + x = 100

Reorder the terms:
x + 2x2 = 100

Solving
x + 2x2 = 100

Solving for variable 'x'.

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

Combine like terms: 100 + -100 = 0
-100 + x + 2x2 = 0

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

Divide each side by '2'.
-50 + 0.5x + x2 = 0

Move the constant term to the right:

Add '50' to each side of the equation.
-50 + 0.5x + 50 + x2 = 0 + 50

Reorder the terms:
-50 + 50 + 0.5x + x2 = 0 + 50

Combine like terms: -50 + 50 = 0
0 + 0.5x + x2 = 0 + 50
0.5x + x2 = 0 + 50

Combine like terms: 0 + 50 = 50
0.5x + x2 = 50

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.5x + 0.25 + x2 = 50 + 0.25

Reorder the terms:
0.25 + 0.5x + x2 = 50 + 0.25

Combine like terms: 50 + 0.25 = 50.25
0.25 + 0.5x + x2 = 50.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 50.25

Calculate the square root of the right side: 7.088723439

Break this problem into two subproblems by setting 
(x + 0.5) equal to 7.088723439 and -7.088723439.

Subproblem 1

x + 0.5 = 7.088723439 Simplifying x + 0.5 = 7.088723439 Reorder the terms: 0.5 + x = 7.088723439 Solving 0.5 + x = 7.088723439 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 7.088723439 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 7.088723439 + -0.5 x = 7.088723439 + -0.5 Combine like terms: 7.088723439 + -0.5 = 6.588723439 x = 6.588723439 Simplifying x = 6.588723439

Subproblem 2

x + 0.5 = -7.088723439 Simplifying x + 0.5 = -7.088723439 Reorder the terms: 0.5 + x = -7.088723439 Solving 0.5 + x = -7.088723439 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -7.088723439 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -7.088723439 + -0.5 x = -7.088723439 + -0.5 Combine like terms: -7.088723439 + -0.5 = -7.588723439 x = -7.588723439 Simplifying x = -7.588723439

Solution

The solution to the problem is based on the solutions from the subproblems. x = {6.588723439, -7.588723439}

See similar equations:

| 2x^2+x-100=0 | | 12v^2+12v-6=0 | | F(x)=-3x+11 | | 2x^2+12x-210=0 | | 13x+16-x=4 | | 9(x+2)=23 | | I=PRTfort | | 1801=16t^2 | | 3x^2+x-324=0 | | 3x+25=45 | | U=4(3n+35)+9(n+1) | | 45-2= | | 3x-83=0 | | x(x+1)=2409 | | 2(4g+39)-8g-78=0 | | 4a+6a+8+5= | | 3m+7m= | | 0.5x-0.2(40+x)=0.4(40) | | 1968=16t^2 | | 20=-2(m+3)+3 | | y=0.5x^2-3x | | 0.6x+14.3=x-8.62 | | 3(2x-2.2)=8x-6.6 | | -0.5x+2.35=-0.1x+9.95 | | -0.5x+2.35=-0.1+9.95 | | 4-6y=21y-13 | | 4.9+0.9x=0.4 | | 7x-10=8x-6 | | 500x-0.41=300x+0.43 | | -5n+10=-4n-16 | | 2.2x-11=1.7x+5 | | (4v-2)(1-v)=0 |

Equations solver categories