2*x^2-2*x=120*121

Simple and best practice solution for 2*x^2-2*x=120*121 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^2-2*x=120*121 equation: 


Simplifying
2x2 + -2x = 120 * 121

Reorder the terms:
-2x + 2x2 = 120 * 121

Multiply 120 * 121
-2x + 2x2 = 14520

Solving
-2x + 2x2 = 14520

Solving for variable 'x'.

Reorder the terms:
-14520 + -2x + 2x2 = 14520 + -14520

Combine like terms: 14520 + -14520 = 0
-14520 + -2x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-7260 + -1x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-7260 + -1x + x2)' equal to zero and attempt to solve:

Simplifying
-7260 + -1x + x2 = 0

Solving
-7260 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '7260' to each side of the equation.
-7260 + -1x + 7260 + x2 = 0 + 7260

Reorder the terms:
-7260 + 7260 + -1x + x2 = 0 + 7260

Combine like terms: -7260 + 7260 = 0
0 + -1x + x2 = 0 + 7260
-1x + x2 = 0 + 7260

Combine like terms: 0 + 7260 = 7260
-1x + x2 = 7260

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 = 7260 + 0.25

Reorder the terms:
0.25 + -1x + x2 = 7260 + 0.25

Combine like terms: 7260 + 0.25 = 7260.25
0.25 + -1x + x2 = 7260.25

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = 7260.25

Calculate the square root of the right side: 85.207100643

Break this problem into two subproblems by setting 
(x + -0.5) equal to 85.207100643 and -85.207100643.


Subproblem 1
x + -0.5 = 85.207100643

Simplifying
x + -0.5 = 85.207100643

Reorder the terms:
-0.5 + x = 85.207100643

Solving
-0.5 + x = 85.207100643

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 = 85.207100643 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = 85.207100643 + 0.5
x = 85.207100643 + 0.5

Combine like terms: 85.207100643 + 0.5 = 85.707100643
x = 85.707100643

Simplifying
x = 85.707100643


Subproblem 2
x + -0.5 = -85.207100643

Simplifying
x + -0.5 = -85.207100643

Reorder the terms:
-0.5 + x = -85.207100643

Solving
-0.5 + x = -85.207100643

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 = -85.207100643 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = -85.207100643 + 0.5
x = -85.207100643 + 0.5

Combine like terms: -85.207100643 + 0.5 = -84.707100643
x = -84.707100643

Simplifying
x = -84.707100643


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {85.707100643, -84.707100643}
Solution
x = {85.707100643, -84.707100643}

See similar equations:

| 7x-5=-7x+51 | | 2*x^2-2*x=120*119 | | 3(4x+5)-6=19+2(3x+4) | | (x+5)(2x-1)=4x | | (2x^3)+(4x^2)-(2x)-(4)=0 | | 4x+4=20+2x | | 5-c=4+4c | | (4-12)(5-25)=0 | | (9z-18)(12+6)=0 | | 9y+3=5y+-13 | | x^2-x=60*119 | | x^2-x=120*119 | | 4(-8+x)=5x+1/2 | | 10(4x-3)=25 | | -1=5-x-x | | x+6.7=10.4 | | -(6y-9z+7)= | | (4x-6)(x+6)=0 | | 6x+3(3x-20)=10(x-40) | | x^2+x=60*119 | | 2=2-6c-4c | | 5y-8-y= | | -4x-(x-3)=5+2x | | 5n+10d=200 | | x^2+x=120*119 | | 120x+70x-140=2x-2 | | -74+3x=10x+24 | | 1f-4=6+26 | | -3x-64=96+7x | | 12x-3x=-36 | | y^2-13y+40= | | 3x+21=2x-6 |

Equations solver categories