2x^2-2x-72=0

Simple and best practice solution for 2x^2-2x-72=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-72=0 equation: 


Simplifying
2x2 + -2x + -72 = 0

Reorder the terms:
-72 + -2x + 2x2 = 0

Solving
-72 + -2x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-36 + -1x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-36 + -1x + x2)' equal to zero and attempt to solve:

Simplifying
-36 + -1x + x2 = 0

Solving
-36 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '36' to each side of the equation.
-36 + -1x + 36 + x2 = 0 + 36

Reorder the terms:
-36 + 36 + -1x + x2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + -1x + x2 = 0 + 36
-1x + x2 = 0 + 36

Combine like terms: 0 + 36 = 36
-1x + x2 = 36

The x term is -1x.  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.
-1x + 0.25 + x2 = 36 + 0.25

Reorder the terms:
0.25 + -1x + x2 = 36 + 0.25

Combine like terms: 36 + 0.25 = 36.25
0.25 + -1x + x2 = 36.25

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = 36.25

Calculate the square root of the right side: 6.020797289

Break this problem into two subproblems by setting 
(x + -0.5) equal to 6.020797289 and -6.020797289.


Subproblem 1
x + -0.5 = 6.020797289

Simplifying
x + -0.5 = 6.020797289

Reorder the terms:
-0.5 + x = 6.020797289

Solving
-0.5 + x = 6.020797289

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 = 6.020797289 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = 6.020797289 + 0.5
x = 6.020797289 + 0.5

Combine like terms: 6.020797289 + 0.5 = 6.520797289
x = 6.520797289

Simplifying
x = 6.520797289


Subproblem 2
x + -0.5 = -6.020797289

Simplifying
x + -0.5 = -6.020797289

Reorder the terms:
-0.5 + x = -6.020797289

Solving
-0.5 + x = -6.020797289

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 = -6.020797289 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = -6.020797289 + 0.5
x = -6.020797289 + 0.5

Combine like terms: -6.020797289 + 0.5 = -5.520797289
x = -5.520797289

Simplifying
x = -5.520797289


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.520797289, -5.520797289}
Solution
x = {6.520797289, -5.520797289}

See similar equations:

| 11y+12-9y=44 | | -9(3m)+6(1+4m)= | | 12*2=144 | | n=-3n-19 | | 6x-3-4x=-7 | | 2x-6=10+4x | | log(1000)=3 | | 0.3(x-2)+x=0.5(3-X) | | 7x-3x-8=16 | | 11+2x=5(x+8) | | 4x-2(x-9)=2(x+1)+3 | | 3(4y-7)=2y-1 | | 2x+23=8x | | log*3(81)=4 | | 2(6-10x)=20x-60 | | -20=3(x-3)+8x | | -2(x-1)-10=0 | | 9x+2=6x+44 | | 5y^2-15y+10=0 | | 45=5(x+3)+10x | | -8(x+1)=-22-2 | | 2mn-3=16 | | 2.2y+3=6.6 | | 3y+9=2y-2 | | 1.5x-8=-0.5 | | 2x+3(-x+2)=10 | | 4(x-8)+2x=6(x+2)-44 | | 5*(b-4)=6*(3+b) | | 11=-3v-4 | | 2y+6=13 | | x^2+25x+5= | | x+60+47=x+97 |

Equations solver categories