-2x^2-x+5=0

Simple and best practice solution for -2x^2-x+5=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-x+5=0 equation:


Simplifying
-2x2 + -1x + 5 = 0

Reorder the terms:
5 + -1x + -2x2 = 0

Solving
5 + -1x + -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'.
-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:

| 10x^2+10x-19=0 | | x^2-10x=a | | f(x)=-2x^2+9x+7 | | x^2+10x-19=0 | | 5(z+3)-(2z-6)=2z | | -3(-2-3x)-x=-4(2x-2) | | 12t(1-7t)=31 | | 8h-4h-h-h=10 | | 2s-s-s+2s-s=11 | | 8r+4r-12r+2r-r=16 | | 0.2=0.04+12 | | t*4-1=12 | | -17k+9k-6k+7k-(-4k)=18 | | -22=-4x-6 | | 7s+2s-9s+s=6 | | x^2-4ax+9a=0 | | (3x)(3x)-13x=10 | | 58?1035?49= | | 4(x+3)-1=-9 | | -17+15r=13r+1 | | 17y+3y-19y=20 | | 2(x+1)=10whatisx | | 6+3u=-3 | | a*3+6=11 | | 5t-5=2t+1 | | 3t+6=-4-18t+20t | | 5(y+7)=60 | | y=-3x^2-9x-6 | | -20z-3=-19z | | x(x+4)(x-4)=0 | | 7-4f=-5f | | 19n+2n+3n+15n=18 |

Equations solver categories