2x^2+2x-96=0

Simple and best practice solution for 2x^2+2x-96=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-96=0 equation: 


Simplifying
2x2 + 2x + -96 = 0

Reorder the terms:
-96 + 2x + 2x2 = 0

Solving
-96 + 2x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-48 + x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-48 + x + x2)' equal to zero and attempt to solve:

Simplifying
-48 + x + x2 = 0

Solving
-48 + x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '48' to each side of the equation.
-48 + x + 48 + x2 = 0 + 48

Reorder the terms:
-48 + 48 + x + x2 = 0 + 48

Combine like terms: -48 + 48 = 0
0 + x + x2 = 0 + 48
x + x2 = 0 + 48

Combine like terms: 0 + 48 = 48
x + x2 = 48

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 = 48 + 0.25

Reorder the terms:
0.25 + x + x2 = 48 + 0.25

Combine like terms: 48 + 0.25 = 48.25
0.25 + x + x2 = 48.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 48.25

Calculate the square root of the right side: 6.946221995

Break this problem into two subproblems by setting 
(x + 0.5) equal to 6.946221995 and -6.946221995.


Subproblem 1
x + 0.5 = 6.946221995

Simplifying
x + 0.5 = 6.946221995

Reorder the terms:
0.5 + x = 6.946221995

Solving
0.5 + x = 6.946221995

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 = 6.946221995 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 6.946221995 + -0.5
x = 6.946221995 + -0.5

Combine like terms: 6.946221995 + -0.5 = 6.446221995
x = 6.446221995

Simplifying
x = 6.446221995


Subproblem 2
x + 0.5 = -6.946221995

Simplifying
x + 0.5 = -6.946221995

Reorder the terms:
0.5 + x = -6.946221995

Solving
0.5 + x = -6.946221995

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 = -6.946221995 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -6.946221995 + -0.5
x = -6.946221995 + -0.5

Combine like terms: -6.946221995 + -0.5 = -7.446221995
x = -7.446221995

Simplifying
x = -7.446221995


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.446221995, -7.446221995}
Solution
x = {6.446221995, -7.446221995}

See similar equations:

| r/3+6=42 | | 2/3x+5/6x+1/2x+10 | | -3(2x+11)=6x+33 | | 1/2(2x+3)+4x=5 | | 120=1.2x | | 2/3(4x-3)=2/5(x-4) | | 4(26-19)= | | y=x+(x*0.2) | | -11=18/5+s/5 | | 585.00+0.13x=850 | | -52-18= | | -2/3x=36 | | (p+12)/2=(8-3p)/4 | | 3y=4(2x-4) | | (-5m^6a^2/4m^-4a^-6)^-1 | | (18n^2-9n+1)/(3n-1) | | x-0.05x=418 | | 1/3(6x-9)=5 | | y=-11x-7 | | (x^2+3x-18)/(x-3) | | -4(y-7)=6y-12 | | 131.25/12.5 | | 3c-6=c+8 | | 12.5/131.25 | | (3x^2+5x+9)(6x-8)=equation | | x*(x-4)=96 | | x+.40x=8 | | (7x^2+9x+8)(9x^3+7x)=equation | | 42-8=32 | | (7x^2+5x+7)(4x-6)=equation | | f(x)=-2x-6 | | 4a-9=2a+7 |

Equations solver categories