x(x-1)-(x-5)2=2

Simple and best practice solution for x(x-1)-(x-5)2=2 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(x-1)-(x-5)2=2 equation:


Simplifying
x(x + -1) + -1(x + -5) * 2 = 2

Reorder the terms:
x(-1 + x) + -1(x + -5) * 2 = 2
(-1 * x + x * x) + -1(x + -5) * 2 = 2
(-1x + x2) + -1(x + -5) * 2 = 2

Reorder the terms:
-1x + x2 + -1(-5 + x) * 2 = 2

Reorder the terms for easier multiplication:
-1x + x2 + -1 * 2(-5 + x) = 2

Multiply -1 * 2
-1x + x2 + -2(-5 + x) = 2
-1x + x2 + (-5 * -2 + x * -2) = 2
-1x + x2 + (10 + -2x) = 2

Reorder the terms:
10 + -1x + -2x + x2 = 2

Combine like terms: -1x + -2x = -3x
10 + -3x + x2 = 2

Solving
10 + -3x + x2 = 2

Solving for variable 'x'.

Reorder the terms:
10 + -2 + -3x + x2 = 2 + -2

Combine like terms: 10 + -2 = 8
8 + -3x + x2 = 2 + -2

Combine like terms: 2 + -2 = 0
8 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -3x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -3x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x + x2 = 0 + -8
-3x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-3x + x2 = -8

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -8 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -8 + 2.25

Combine like terms: -8 + 2.25 = -5.75
2.25 + -3x + x2 = -5.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -5.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 1.25(x-2)=1.5(x-3) | | (3x-2y)2= | | 6X+1=X+1 | | 15w^2=48+48w | | 16x(2-x)+(4x-5)2=1 | | -60-6x=5x+83 | | -19n+12=-15n-4 | | -4(1-x)=5(x-2) | | 9x+29=0 | | 6x-8w= | | 4x(3x-5)=16 | | -4+9=17x-2-16x | | 2x+12y=-16 | | 10x^2+x-10=0 | | 18=3y-12x | | 1/2(6-y)=y | | -4c-12+3c=12 | | 13x+69=72 | | 7x+1=2x-9 | | 16x=2x-12 | | -54+x=-3x+15 | | 2(3x-2)=3x+5 | | 4e^6t=8e^5t | | 225=1.8(k-273.15)+32 | | 5x-22=x+31 | | 4(1+c)=3(c-5) | | 15(8c-1)-16=118c+15 | | 8a-(a+7)=21 | | -168+3x=74-8x | | 3z+2(z-3)=9 | | 7e^8t=9e^7t | | 6(y-3)=2y-46 |

Equations solver categories