2x^2+x-25=0

Simple and best practice solution for 2x^2+x-25=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-25=0 equation: 


Simplifying
2x2 + x + -25 = 0

Reorder the terms:
-25 + x + 2x2 = 0

Solving
-25 + 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'.
-12.5 + 0.5x + x2 = 0

Move the constant term to the right:

Add '12.5' to each side of the equation.
-12.5 + 0.5x + 12.5 + x2 = 0 + 12.5

Reorder the terms:
-12.5 + 12.5 + 0.5x + x2 = 0 + 12.5

Combine like terms: -12.5 + 12.5 = 0.0
0.0 + 0.5x + x2 = 0 + 12.5
0.5x + x2 = 0 + 12.5

Combine like terms: 0 + 12.5 = 12.5
0.5x + x2 = 12.5

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 = 12.5 + 0.25

Reorder the terms:
0.25 + 0.5x + x2 = 12.5 + 0.25

Combine like terms: 12.5 + 0.25 = 12.75
0.25 + 0.5x + x2 = 12.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 12.75

Calculate the square root of the right side: 3.570714214

Break this problem into two subproblems by setting 
(x + 0.5) equal to 3.570714214 and -3.570714214.


Subproblem 1
x + 0.5 = 3.570714214

Simplifying
x + 0.5 = 3.570714214

Reorder the terms:
0.5 + x = 3.570714214

Solving
0.5 + x = 3.570714214

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 = 3.570714214 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 3.570714214 + -0.5
x = 3.570714214 + -0.5

Combine like terms: 3.570714214 + -0.5 = 3.070714214
x = 3.070714214

Simplifying
x = 3.070714214


Subproblem 2
x + 0.5 = -3.570714214

Simplifying
x + 0.5 = -3.570714214

Reorder the terms:
0.5 + x = -3.570714214

Solving
0.5 + x = -3.570714214

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 = -3.570714214 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -3.570714214 + -0.5
x = -3.570714214 + -0.5

Combine like terms: -3.570714214 + -0.5 = -4.070714214
x = -4.070714214

Simplifying
x = -4.070714214


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.070714214, -4.070714214}

See similar equations:

| -4[y]=-8 | | (5+x)(7-x)=0 | | 2x+5+4x=65 | | 1.3-2.5x=-1.2x-0.52 | | 4+4x+x=-41 | | 4(4m-3)=4(3+m) | | 1/2(12-8x)=x-11x | | x^2-8x+42=0 | | -2[v]=4 | | x=0.5(242-x) | | 47=-x+7x-7 | | v^2+18=9v | | 1/2x+6-2x+1/2=7/2 | | 8(0)+y=-69 | | -5+7x=2 | | x=0.5*(124-x) | | -2x-10=-2 | | n^2+16n-7=0 | | [u]-12=-12 | | 13=-3x+7 | | 36+2k=12+8k | | 3x+6-4x+8=5x-3 | | [w]+15=21 | | x+10=3x-8 | | 3v^2-6=-7v | | -6[y]=-12 | | 1/5m=4-3/10m | | 1/3g=8 | | 5+x=-19 | | -2[x]=6 | | 700=2xp | | -2[x]=-6 |

Equations solver categories