105=(X+10)(2+X)

Simple and best practice solution for 105=(X+10)(2+X) 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 105=(X+10)(2+X) equation: 


Simplifying
105 = (X + 10)(2 + X)

Reorder the terms:
105 = (10 + X)(2 + X)

Multiply (10 + X) * (2 + X)
105 = (10(2 + X) + X(2 + X))
105 = ((2 * 10 + X * 10) + X(2 + X))
105 = ((20 + 10X) + X(2 + X))
105 = (20 + 10X + (2 * X + X * X))
105 = (20 + 10X + (2X + X2))

Combine like terms: 10X + 2X = 12X
105 = (20 + 12X + X2)

Solving
105 = 20 + 12X + X2

Solving for variable 'X'.

Combine like terms: 105 + -20 = 85
85 + -12X + -1X2 = 20 + 12X + X2 + -20 + -12X + -1X2

Reorder the terms:
85 + -12X + -1X2 = 20 + -20 + 12X + -12X + X2 + -1X2

Combine like terms: 20 + -20 = 0
85 + -12X + -1X2 = 0 + 12X + -12X + X2 + -1X2
85 + -12X + -1X2 = 12X + -12X + X2 + -1X2

Combine like terms: 12X + -12X = 0
85 + -12X + -1X2 = 0 + X2 + -1X2
85 + -12X + -1X2 = X2 + -1X2

Combine like terms: X2 + -1X2 = 0
85 + -12X + -1X2 = 0

Factor a trinomial.
(5 + -1X)(17 + X) = 0


Subproblem 1
Set the factor '(5 + -1X)' equal to zero and attempt to solve:

Simplifying
5 + -1X = 0

Solving
5 + -1X = 0

Move all terms containing X to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -1X = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1X = 0 + -5
-1X = 0 + -5

Combine like terms: 0 + -5 = -5
-1X = -5

Divide each side by '-1'.
X = 5

Simplifying
X = 5

Subproblem 2
Set the factor '(17 + X)' equal to zero and attempt to solve:

Simplifying
17 + X = 0

Solving
17 + X = 0

Move all terms containing X to the left, all other terms to the right.

Add '-17' to each side of the equation.
17 + -17 + X = 0 + -17

Combine like terms: 17 + -17 = 0
0 + X = 0 + -17
X = 0 + -17

Combine like terms: 0 + -17 = -17
X = -17

Simplifying
X = -17
Solution
X = {5, -17}

See similar equations:

| 105=(X+10)(2+X) | | X+18*2=x | | 3x-x+7x-4x= | | 14-x=x-2 | | -7625+185s=12790 | | 6m+2m+5m-7= | | 4x+10=x+25+2x+5 | | 9n=117 | | -7625+185=12790 | | 4x-15=x+20+x+25 | | x+35=2x-70+x-15 | | 6x-y=40 | | 1+2x=9+x | | y=0.2*x+0.16 | | -6x^2+90x-300=0 | | x+35=27-70+x-15 | | 3Xsquared+13x-10=0 | | 6Xsquared+11X+3=0 | | d+.2=6 | | 5-1(y+1)=-3 | | -5x+5x-2x=8 | | 0=r^2-127.69 | | (-7+4i)(1-8i)= | | 9=0.25a | | (7y+6)+4y=116 | | 1x^2+2x-1=2 | | 6*n=-42 | | 29y=0 | | x^4-14x^2+45=9 | | 1.3q-6.5q+1.6=-29.6 | | V+3=-11+8v | | 18-x=0 |

Equations solver categories