0=2x^2+x-50

Simple and best practice solution for 0=2x^2+x-50 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 0=2x^2+x-50 equation:


Simplifying
0 = 2x2 + x + -50

Reorder the terms:
0 = -50 + x + 2x2

Solving
0 = -50 + x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 50 = 50
50 + -1x + -2x2 = -50 + x + 2x2 + 50 + -1x + -2x2

Reorder the terms:
50 + -1x + -2x2 = -50 + 50 + x + -1x + 2x2 + -2x2

Combine like terms: -50 + 50 = 0
50 + -1x + -2x2 = 0 + x + -1x + 2x2 + -2x2
50 + -1x + -2x2 = x + -1x + 2x2 + -2x2

Combine like terms: x + -1x = 0
50 + -1x + -2x2 = 0 + 2x2 + -2x2
50 + -1x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
50 + -1x + -2x2 = 0

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

Divide each side by '-2'.
-25 + 0.5x + x2 = 0

Move the constant term to the right:

Add '25' to each side of the equation.
-25 + 0.5x + 25 + x2 = 0 + 25

Reorder the terms:
-25 + 25 + 0.5x + x2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 0.5x + x2 = 0 + 25
0.5x + x2 = 0 + 25

Combine like terms: 0 + 25 = 25
0.5x + x2 = 25

The x term is 0.5x.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5x + 0.0625 + x2 = 25 + 0.0625

Reorder the terms:
0.0625 + 0.5x + x2 = 25 + 0.0625

Combine like terms: 25 + 0.0625 = 25.0625
0.0625 + 0.5x + x2 = 25.0625

Factor a perfect square on the left side:
(x + 0.25)(x + 0.25) = 25.0625

Calculate the square root of the right side: 5.006246099

Break this problem into two subproblems by setting 
(x + 0.25) equal to 5.006246099 and -5.006246099.

Subproblem 1

x + 0.25 = 5.006246099 Simplifying x + 0.25 = 5.006246099 Reorder the terms: 0.25 + x = 5.006246099 Solving 0.25 + x = 5.006246099 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + x = 5.006246099 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + x = 5.006246099 + -0.25 x = 5.006246099 + -0.25 Combine like terms: 5.006246099 + -0.25 = 4.756246099 x = 4.756246099 Simplifying x = 4.756246099

Subproblem 2

x + 0.25 = -5.006246099 Simplifying x + 0.25 = -5.006246099 Reorder the terms: 0.25 + x = -5.006246099 Solving 0.25 + x = -5.006246099 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + x = -5.006246099 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + x = -5.006246099 + -0.25 x = -5.006246099 + -0.25 Combine like terms: -5.006246099 + -0.25 = -5.256246099 x = -5.256246099 Simplifying x = -5.256246099

Solution

The solution to the problem is based on the solutions from the subproblems. x = {4.756246099, -5.256246099}

See similar equations:

| 7m+24=0 | | 3(8)=4(4+x) | | 12y=2x-8 | | -8x+8x=-x-5x | | x^2-(13x)+36=0 | | 5x-12=-4x+6 | | y^2(6-4)=36 | | 5x-4=5(x-3)+12 | | 5(7x+9)=465 | | x^4+2x^5=13 | | -3y+2y+12=18 | | 8x=2.8 | | 8u-6=5(u-3) | | X=6a | | Uw+un=u | | .05x+.10(200-x)=.045x | | 53x^2+1=49x | | c=5/9(365-32) | | 2+0.5g+9=6 | | p^2+4p+5=5 | | 6x-21=5x+17+c | | 5x^8+35x^6-40x^4=0 | | 9(5x-12)=252 | | 5(x-4)+8=3x+2(-5+x) | | 23=r+-14 | | -9x-6=6x+39 | | 2x+(1-2x)=-3 | | 12(m+4)=12m-86 | | 23+r=-14 | | 9(10x-4)=504 | | x^3-6x^2-1x+6=0 | | -4(a-5)-[8-5(4a-5)]= |

Equations solver categories