2x^2+2x-50=0

Simple and best practice solution for 2x^2+2x-50=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+2x-50=0 equation: 


Simplifying
2x2 + 2x + -50 = 0

Reorder the terms:
-50 + 2x + 2x2 = 0

Solving
-50 + 2x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-25 + x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-25 + x + x2)' equal to zero and attempt to solve:

Simplifying
-25 + x + x2 = 0

Solving
-25 + x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '25' to each side of the equation.
-25 + x + 25 + x2 = 0 + 25

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

Combine like terms: -25 + 25 = 0
0 + x + x2 = 0 + 25
x + x2 = 0 + 25

Combine like terms: 0 + 25 = 25
x + x2 = 25

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.
x + 0.25 + x2 = 25 + 0.25

Reorder the terms:
0.25 + x + x2 = 25 + 0.25

Combine like terms: 25 + 0.25 = 25.25
0.25 + x + x2 = 25.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 25.25

Calculate the square root of the right side: 5.024937811

Break this problem into two subproblems by setting 
(x + 0.5) equal to 5.024937811 and -5.024937811.


Subproblem 1
x + 0.5 = 5.024937811

Simplifying
x + 0.5 = 5.024937811

Reorder the terms:
0.5 + x = 5.024937811

Solving
0.5 + x = 5.024937811

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 = 5.024937811 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 5.024937811 + -0.5
x = 5.024937811 + -0.5

Combine like terms: 5.024937811 + -0.5 = 4.524937811
x = 4.524937811

Simplifying
x = 4.524937811


Subproblem 2
x + 0.5 = -5.024937811

Simplifying
x + 0.5 = -5.024937811

Reorder the terms:
0.5 + x = -5.024937811

Solving
0.5 + x = -5.024937811

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 = -5.024937811 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -5.024937811 + -0.5
x = -5.024937811 + -0.5

Combine like terms: -5.024937811 + -0.5 = -5.524937811
x = -5.524937811

Simplifying
x = -5.524937811


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.524937811, -5.524937811}
Solution
x = {4.524937811, -5.524937811}

See similar equations:

| j+2.5=4.9 | | f(x)=(5x-3)(6x+7) | | -.10(20)+0.25x=.05(x-8) | | f(x)=(5x+11)(2x+9) | | y^3+10y^2-y=10 | | (12x)3=(123)8 | | 30(50-10x)-20(50+50)=30(10x+1) | | 23+44x= | | 2x=36-y | | 3(2x-6)-4=3(x-2)-7 | | n-20=-16 | | x+34=4x+8 | | 7x=19-(-9) | | y+7=-23 | | 11w-15w=-20 | | 2x=36y | | 450=x^2 | | 2(2x-4)-4=2(x-2) | | 2(a+1)+3(2a-5)= | | 18-6x=-2(4x-4) | | h=4.9t^2+3.5t+10 | | (xy)x=36 | | 35-(-20)= | | 29+(-15)= | | 8p+11=67 | | 2x+3(5-x)-12=4(4x+2) | | 30x-5=x+14 | | 5x=20-10x | | (2x+3)(x+4)=33 | | 6a^3+7a^2+6a+7= | | 8x+5+x= | | 4p+1=4p+3 |

Equations solver categories