72=(x-2)(x-1)

Simple and best practice solution for 72=(x-2)(x-1) 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 72=(x-2)(x-1) equation: 


Simplifying
72 = (x + -2)(x + -1)

Reorder the terms:
72 = (-2 + x)(x + -1)

Reorder the terms:
72 = (-2 + x)(-1 + x)

Multiply (-2 + x) * (-1 + x)
72 = (-2(-1 + x) + x(-1 + x))
72 = ((-1 * -2 + x * -2) + x(-1 + x))
72 = ((2 + -2x) + x(-1 + x))
72 = (2 + -2x + (-1 * x + x * x))
72 = (2 + -2x + (-1x + x2))

Combine like terms: -2x + -1x = -3x
72 = (2 + -3x + x2)

Solving
72 = 2 + -3x + x2

Solving for variable 'x'.

Combine like terms: 72 + -2 = 70
70 + 3x + -1x2 = 2 + -3x + x2 + -2 + 3x + -1x2

Reorder the terms:
70 + 3x + -1x2 = 2 + -2 + -3x + 3x + x2 + -1x2

Combine like terms: 2 + -2 = 0
70 + 3x + -1x2 = 0 + -3x + 3x + x2 + -1x2
70 + 3x + -1x2 = -3x + 3x + x2 + -1x2

Combine like terms: -3x + 3x = 0
70 + 3x + -1x2 = 0 + x2 + -1x2
70 + 3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
70 + 3x + -1x2 = 0

Factor a trinomial.
(10 + -1x)(7 + x) = 0


Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {10, -7}

See similar equations:

| x+6=5+28 | | 3*2+14= | | 5(2s+2s)=65 | | 6x+2=1-6 | | 2x+12=10x | | 9x+5x+3+7=8x+4+5x | | 64+y=36 | | -3=y+4 | | 3*2-14= | | cosx-3sinx=-2 | | 5y+3(8-3y)= | | 64+y=100 | | 2x^2-64=-8x | | f/56=-7 | | 12x-9y=-20 | | 4(3x-5)=100 | | 8x-2(x-1)=4(x+3)+2x | | 8x+4(4x-3)=4(6x+14)-4 | | -7u=28 | | (3x-2w)(x-6w)= | | 180=11x | | x^2-45x=4050 | | 180=4x | | ln(x-8)-ln(x+9)=ln(x-7)-ln(x+1) | | 150+(225*3.50)=2000 | | .25(j-8)=0.5j+2 | | 4(2a-4)=40 | | 4m-18m=112 | | 5-3x-21=4-2x-8 | | 10m-8(m+9)=88 | | y-1.34=9.89 | | 1-6x+5x=7 |

Equations solver categories