x^2-2x=144

Simple and best practice solution for x^2-2x=144 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 x^2-2x=144 equation:


Simplifying
x2 + -2x = 144

Reorder the terms:
-2x + x2 = 144

Solving
-2x + x2 = 144

Solving for variable 'x'.

Reorder the terms:
-144 + -2x + x2 = 144 + -144

Combine like terms: 144 + -144 = 0
-144 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '144' to each side of the equation.
-144 + -2x + 144 + x2 = 0 + 144

Reorder the terms:
-144 + 144 + -2x + x2 = 0 + 144

Combine like terms: -144 + 144 = 0
0 + -2x + x2 = 0 + 144
-2x + x2 = 0 + 144

Combine like terms: 0 + 144 = 144
-2x + x2 = 144

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = 144 + 1

Reorder the terms:
1 + -2x + x2 = 144 + 1

Combine like terms: 144 + 1 = 145
1 + -2x + x2 = 145

Factor a perfect square on the left side:
(x + -1)(x + -1) = 145

Calculate the square root of the right side: 12.041594579

Break this problem into two subproblems by setting 
(x + -1) equal to 12.041594579 and -12.041594579.

Subproblem 1

x + -1 = 12.041594579 Simplifying x + -1 = 12.041594579 Reorder the terms: -1 + x = 12.041594579 Solving -1 + x = 12.041594579 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 12.041594579 + 1 Combine like terms: -1 + 1 = 0 0 + x = 12.041594579 + 1 x = 12.041594579 + 1 Combine like terms: 12.041594579 + 1 = 13.041594579 x = 13.041594579 Simplifying x = 13.041594579

Subproblem 2

x + -1 = -12.041594579 Simplifying x + -1 = -12.041594579 Reorder the terms: -1 + x = -12.041594579 Solving -1 + x = -12.041594579 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = -12.041594579 + 1 Combine like terms: -1 + 1 = 0 0 + x = -12.041594579 + 1 x = -12.041594579 + 1 Combine like terms: -12.041594579 + 1 = -11.041594579 x = -11.041594579 Simplifying x = -11.041594579

Solution

The solution to the problem is based on the solutions from the subproblems. x = {13.041594579, -11.041594579}

See similar equations:

| p-12.96=-31.45 | | 5x-27=x+7-5x | | 8(k-12)=24 | | 7x-8+9x+3=9x+7x-8 | | 12=9b | | 6x+51+x=79+1 | | -2a+28+7a=6a-8a | | 4x^3+5x^2-x+2=0 | | 6x+3+5=79x+6x | | 6{x+5}=-36 | | (y-8)-(y+2)=2y | | -18=1.5r+12 | | 108=-5.01x+4.9x^2 | | 19(p+14)=190 | | 2x+13+10x=1245 | | 64=8(1-7a)-7(7+7a) | | 2y^2=-3y+35 | | x^4-8x^2=-1728 | | 6(-1)=8-9-6 | | 4x^3+5x^2+7x-9=0 | | 7n=5(4n+7) | | 25-7=2x | | -23x+5y=-29 | | x=16y^2 | | 5(c-8)-3(2c+12)=-74 | | 7(4n-1)-3=143 | | -22=-3(-9m+4)+10(8m-1) | | 1/3k=-10 | | 12=-2n-n | | 1.12+1.25g=862 | | 41+22+86+y=180 | | -19x-10=-15x^2 |

Equations solver categories