-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 + x + 5 = 0

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

Solving
5 + x + -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 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 = 2.5 + 0.25

Reorder the terms:
0.25 + -0.5x + x2 = 2.5 + 0.25

Combine like terms: 2.5 + 0.25 = 2.75
0.25 + -0.5x + x2 = 2.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 2.75

Calculate the square root of the right side: 1.658312395

Break this problem into two subproblems by setting 
(x + 0.5) equal to 1.658312395 and -1.658312395.

Subproblem 1

x + 0.5 = 1.658312395 Simplifying x + 0.5 = 1.658312395 Reorder the terms: 0.5 + x = 1.658312395 Solving 0.5 + x = 1.658312395 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 = 1.658312395 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 1.658312395 + -0.5 x = 1.658312395 + -0.5 Combine like terms: 1.658312395 + -0.5 = 1.158312395 x = 1.158312395 Simplifying x = 1.158312395

Subproblem 2

x + 0.5 = -1.658312395 Simplifying x + 0.5 = -1.658312395 Reorder the terms: 0.5 + x = -1.658312395 Solving 0.5 + x = -1.658312395 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 = -1.658312395 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -1.658312395 + -0.5 x = -1.658312395 + -0.5 Combine like terms: -1.658312395 + -0.5 = -2.158312395 x = -2.158312395 Simplifying x = -2.158312395

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.158312395, -2.158312395}

See similar equations:

| -x^2-7x+3=0 | | 2z-xy=x+7 | | 18(x-72)=36 | | 13-x=15 | | -3a-4/5=7-2a/2 | | 3(g-7)-2g=20 | | -6u-14=-8u | | -16=2(w+6)-6w | | 4(2p+20)=180 | | 5(3+c)=4(c-6) | | -x-2-2x=-2-2 | | p=12.4-Q | | 5y-6x=r^2 | | 13.7x-6.5=-2.3x+8.3 | | 2(m+4)=3(m-2) | | 4=3(p+2)-2 | | 2y^2+3y-29=(y+1)2 | | X^3+x^2+2x-2=0 | | 14u+18=2(7u+9) | | -4u-6=2 | | 2(8c-1)-18=14c+2 | | 3+-8+4x=90 | | a^2-5a-2=0 | | 3-4n+1=-11 | | -25=-3(4z+6) | | 20(b-15)b=19 | | 7(y-3)=5y-33 | | 0=150+0.22d | | -3w^2=-213 | | 4x+3-8=90 | | 50=2(5+n) | | -2.1(z-1.5)=0.4(z-3) |

Equations solver categories