2x^2+2x-576=0

Simple and best practice solution for 2x^2+2x-576=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-576=0 equation: 


Simplifying
2x2 + 2x + -576 = 0

Reorder the terms:
-576 + 2x + 2x2 = 0

Solving
-576 + 2x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-288 + x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-288 + x + x2)' equal to zero and attempt to solve:

Simplifying
-288 + x + x2 = 0

Solving
-288 + x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '288' to each side of the equation.
-288 + x + 288 + x2 = 0 + 288

Reorder the terms:
-288 + 288 + x + x2 = 0 + 288

Combine like terms: -288 + 288 = 0
0 + x + x2 = 0 + 288
x + x2 = 0 + 288

Combine like terms: 0 + 288 = 288
x + x2 = 288

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 = 288 + 0.25

Reorder the terms:
0.25 + x + x2 = 288 + 0.25

Combine like terms: 288 + 0.25 = 288.25
0.25 + x + x2 = 288.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 288.25

Calculate the square root of the right side: 16.977926846

Break this problem into two subproblems by setting 
(x + 0.5) equal to 16.977926846 and -16.977926846.


Subproblem 1
x + 0.5 = 16.977926846

Simplifying
x + 0.5 = 16.977926846

Reorder the terms:
0.5 + x = 16.977926846

Solving
0.5 + x = 16.977926846

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 = 16.977926846 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 16.977926846 + -0.5
x = 16.977926846 + -0.5

Combine like terms: 16.977926846 + -0.5 = 16.477926846
x = 16.477926846

Simplifying
x = 16.477926846


Subproblem 2
x + 0.5 = -16.977926846

Simplifying
x + 0.5 = -16.977926846

Reorder the terms:
0.5 + x = -16.977926846

Solving
0.5 + x = -16.977926846

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 = -16.977926846 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -16.977926846 + -0.5
x = -16.977926846 + -0.5

Combine like terms: -16.977926846 + -0.5 = -17.477926846
x = -17.477926846

Simplifying
x = -17.477926846


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {16.477926846, -17.477926846}
Solution
x = {16.477926846, -17.477926846}

See similar equations:

| -13=y-94 | | 10n^2=20-8n | | -6/16 | | (1x+6x)=14-x | | 5x+3x=90 | | -2*-1/3 | | ins(x)=90 | | 4r=-12+28 | | -2z-9=2z-5 | | 2j=-60*5 | | -2×-1/3 | | 3/7*a=12 | | 35=1x+16 | | 6(x+6)=102 | | 1/10y=7/5 | | 35=1x+35 | | 5.37+27.7+4= | | 55n=-55 | | C-46=68 | | .03y+1=4.3 | | -6/16v | | -x+5=-2x+-4x | | 6p^2=-9+9p | | 32(x-10)=36x | | -4=h/-3 | | 5x+15=x-25 | | -16=0.5x-7 | | 7y-(9y-16)= | | 34/9=-11x | | -19=p+-2 | | 22=-8w+46 | | 4=-9p+-50 |

Equations solver categories