2(x^2)+x-20=0

Simple and best practice solution for 2(x^2)+x-20=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 2(x^2)+x-20=0 equation: 


Simplifying
2(x2) + x + -20 = 0

Reorder the terms:
-20 + x + 2x2 = 0

Solving
-20 + 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'.
-10 + 0.5x + x2 = 0

Move the constant term to the right:

Add '10' to each side of the equation.
-10 + 0.5x + 10 + x2 = 0 + 10

Reorder the terms:
-10 + 10 + 0.5x + x2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 0.5x + x2 = 0 + 10
0.5x + x2 = 0 + 10

Combine like terms: 0 + 10 = 10
0.5x + x2 = 10

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 = 10 + 0.25

Reorder the terms:
0.25 + 0.5x + x2 = 10 + 0.25

Combine like terms: 10 + 0.25 = 10.25
0.25 + 0.5x + x2 = 10.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 10.25

Calculate the square root of the right side: 3.201562119

Break this problem into two subproblems by setting 
(x + 0.5) equal to 3.201562119 and -3.201562119.


Subproblem 1
x + 0.5 = 3.201562119

Simplifying
x + 0.5 = 3.201562119

Reorder the terms:
0.5 + x = 3.201562119

Solving
0.5 + x = 3.201562119

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 = 3.201562119 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 3.201562119 + -0.5
x = 3.201562119 + -0.5

Combine like terms: 3.201562119 + -0.5 = 2.701562119
x = 2.701562119

Simplifying
x = 2.701562119


Subproblem 2
x + 0.5 = -3.201562119

Simplifying
x + 0.5 = -3.201562119

Reorder the terms:
0.5 + x = -3.201562119

Solving
0.5 + x = -3.201562119

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 = -3.201562119 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -3.201562119 + -0.5
x = -3.201562119 + -0.5

Combine like terms: -3.201562119 + -0.5 = -3.701562119
x = -3.701562119

Simplifying
x = -3.701562119


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.701562119, -3.701562119}

See similar equations:

| sin(2x)=-(sqrt(2/))/2 | | x^2-8x+y^2+2y+16=12 | | 7+4u=70-3 | | 1/2(4.5)-8 | | 5(-3-x)-(5x-1)= | | -0.2(50)+0.8x=0.3(50+x) | | 30x+640=25x+450 | | 10sinx=-12 | | 5r-6r=3(r+5)-16 | | N+2.5=7.9 | | 100x^2+113.98x-39893=0 | | .2x=2640 | | 4(3x-2)-12(x+5)= | | 4y^2-15y=0 | | -6(-x-7)+2x+51=157 | | 5x-8xy+(-12x)= | | =3(2x+5y)-2(3x-y) | | x^2-x-12/x-2=0 | | 3(2x+5y)-2(3x-y)= | | 4x-20=14x-35 | | 4x^2+53x-42=0 | | 32×3/8 | | tan(4x+5)=3 | | 70+3(9x-4)=39 | | 32=8x+12-8x | | 3-4(2x-7)+9=186 | | 30x^3+70x^4+60x^6= | | 5(x+3)=20x+12 | | 6Sqrt[8-x]-Sqrt[x+5]=9 | | (y-4)(2y+1)= | | -30x-45+2x+5=129 | | f(x)=3ln(x-2)+4 |

Equations solver categories