-2x^2=x-5

Simple and best practice solution for -2x^2=x-5 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-5 equation:


Simplifying
-2x2 = x + -5

Reorder the terms:
-2x2 = -5 + x

Solving
-2x2 = -5 + x

Solving for variable 'x'.

Reorder the terms:
5 + -1x + -2x2 = -5 + x + 5 + -1x

Reorder the terms:
5 + -1x + -2x2 = -5 + 5 + x + -1x

Combine like terms: -5 + 5 = 0
5 + -1x + -2x2 = 0 + x + -1x
5 + -1x + -2x2 = x + -1x

Combine like terms: x + -1x = 0
5 + -1x + -2x2 = 0

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

Divide each side by '-2'.
-2.5 + 0.5x + x2 = 0

Move the constant term to the right:

Add '2.5' to each side of the equation.
-2.5 + 0.5x + 2.5 + x2 = 0 + 2.5

Reorder the terms:
-2.5 + 2.5 + 0.5x + x2 = 0 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + 0.5x + x2 = 0 + 2.5
0.5x + x2 = 0 + 2.5

Combine like terms: 0 + 2.5 = 2.5
0.5x + x2 = 2.5

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 = 2.5 + 0.0625

Reorder the terms:
0.0625 + 0.5x + x2 = 2.5 + 0.0625

Combine like terms: 2.5 + 0.0625 = 2.5625
0.0625 + 0.5x + x2 = 2.5625

Factor a perfect square on the left side:
(x + 0.25)(x + 0.25) = 2.5625

Calculate the square root of the right side: 1.600781059

Break this problem into two subproblems by setting 
(x + 0.25) equal to 1.600781059 and -1.600781059.

Subproblem 1

x + 0.25 = 1.600781059 Simplifying x + 0.25 = 1.600781059 Reorder the terms: 0.25 + x = 1.600781059 Solving 0.25 + x = 1.600781059 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 = 1.600781059 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + x = 1.600781059 + -0.25 x = 1.600781059 + -0.25 Combine like terms: 1.600781059 + -0.25 = 1.350781059 x = 1.350781059 Simplifying x = 1.350781059

Subproblem 2

x + 0.25 = -1.600781059 Simplifying x + 0.25 = -1.600781059 Reorder the terms: 0.25 + x = -1.600781059 Solving 0.25 + x = -1.600781059 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 = -1.600781059 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + x = -1.600781059 + -0.25 x = -1.600781059 + -0.25 Combine like terms: -1.600781059 + -0.25 = -1.850781059 x = -1.850781059 Simplifying x = -1.850781059

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.350781059, -1.850781059}

See similar equations:

| x+x+3+4/5=143 | | c=(98-32)*5/9 | | 1=0.3x-0.8x-14 | | 1/2x+13=25 | | c=(47-32)*5/9 | | 5x^3+10x+25/5x^2 | | c=(47-32)x5/9 | | -2(5x-1)-5(2x+7)=-7(2x-12) | | 3t-t-3=t-5 | | -6x-4y=-20 | | 8y+2(y-4)=5(y+1)-2 | | 2X-(7X-Y)+(6X-4Y)= | | 2z-5x=9 | | 5z^4-30z^3+40z^2= | | p=200+10n-350-3.25n | | 1/5x=-1/10 | | p=200x+10n-350-3.25n | | 9x=5x | | 4x^2-180x+1000=0 | | 7x=-6+4x | | -7(u-9)=-2u+13 | | p=200x+10n-350-3.25 | | y^2-12y+27=0 | | 7j-9=2-4j | | -(x-4)+2= | | 0.08(y-8)+0.14y=0.02y-1.8 | | .3(10x-1)=4 | | 8-3r+2r=13 | | 6X^2-48X+92=0 | | w^3-5w^2+1w-5= | | 13x+3=80+18 | | 5w-9=26 |

Equations solver categories