10x-600=(x-20)*(x-60)

Simple and best practice solution for 10x-600=(x-20)*(x-60) 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 10x-600=(x-20)*(x-60) equation: 


Simplifying
10x + -600 = (x + -20)(x + -60)

Reorder the terms:
-600 + 10x = (x + -20)(x + -60)

Reorder the terms:
-600 + 10x = (-20 + x)(x + -60)

Reorder the terms:
-600 + 10x = (-20 + x)(-60 + x)

Multiply (-20 + x) * (-60 + x)
-600 + 10x = (-20(-60 + x) + x(-60 + x))
-600 + 10x = ((-60 * -20 + x * -20) + x(-60 + x))
-600 + 10x = ((1200 + -20x) + x(-60 + x))
-600 + 10x = (1200 + -20x + (-60 * x + x * x))
-600 + 10x = (1200 + -20x + (-60x + x2))

Combine like terms: -20x + -60x = -80x
-600 + 10x = (1200 + -80x + x2)

Solving
-600 + 10x = 1200 + -80x + x2

Solving for variable 'x'.

Reorder the terms:
-600 + -1200 + 10x + 80x + -1x2 = 1200 + -80x + x2 + -1200 + 80x + -1x2

Combine like terms: -600 + -1200 = -1800
-1800 + 10x + 80x + -1x2 = 1200 + -80x + x2 + -1200 + 80x + -1x2

Combine like terms: 10x + 80x = 90x
-1800 + 90x + -1x2 = 1200 + -80x + x2 + -1200 + 80x + -1x2

Reorder the terms:
-1800 + 90x + -1x2 = 1200 + -1200 + -80x + 80x + x2 + -1x2

Combine like terms: 1200 + -1200 = 0
-1800 + 90x + -1x2 = 0 + -80x + 80x + x2 + -1x2
-1800 + 90x + -1x2 = -80x + 80x + x2 + -1x2

Combine like terms: -80x + 80x = 0
-1800 + 90x + -1x2 = 0 + x2 + -1x2
-1800 + 90x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1800 + 90x + -1x2 = 0

Factor a trinomial.
(-60 + x)(30 + -1x) = 0


Subproblem 1
Set the factor '(-60 + x)' equal to zero and attempt to solve:

Simplifying
-60 + x = 0

Solving
-60 + x = 0

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

Add '60' to each side of the equation.
-60 + 60 + x = 0 + 60

Combine like terms: -60 + 60 = 0
0 + x = 0 + 60
x = 0 + 60

Combine like terms: 0 + 60 = 60
x = 60

Simplifying
x = 60

Subproblem 2
Set the factor '(30 + -1x)' equal to zero and attempt to solve:

Simplifying
30 + -1x = 0

Solving
30 + -1x = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 0 + -30
-1x = 0 + -30

Combine like terms: 0 + -30 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30
Solution
x = {60, 30}

See similar equations:

| 2/3x=84 | | 4x-2xy=x^2+y^2+1 | | P(X)3x^5+2x^4-15x^3-10x^2+12x+18=0 | | 72n-6n/n=64 | | 72n-6n/n | | lnx=0.3 | | 8x+23-3x-9=39 | | 3x^5+2x^4-15x^3-10x^2+12x+18=0 | | (x+1)+(2x+3)+x+x=26 | | 3/4x-1/2x=4 | | b+b=x | | (x-20)*(x-60)=0 | | (x-20)(x-60)=0 | | 6.9=1.2n+0.9 | | 6.9=1.2n-0.9 | | x^2-3x+x-1=2 | | 2.7y-7+0.3y=5 | | x^5+x^4=32 | | y^3(3zx)^2/9x^3 | | x/2(4x-3y) | | 2x-6=5x-15 | | 10x-600=0 | | X-2/3=5x/12 | | 5c+15= | | X-2=5x+144 | | 3a+5=3 | | (D^3-7D-6)y=e^2x(1+x) | | m+4n=2n+8m | | 12x-3=11x+3 | | ax-5a=3x-ax | | 3x-9=-9+5x | | 50(x+10)=700 |

Equations solver categories