300x-90(300-x)=2x(300-x)

Simple and best practice solution for 300x-90(300-x)=2x(300-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 300x-90(300-x)=2x(300-x) equation:


Simplifying
300x + -90(300 + -1x) = 2x(300 + -1x)
300x + (300 * -90 + -1x * -90) = 2x(300 + -1x)
300x + (-27000 + 90x) = 2x(300 + -1x)

Reorder the terms:
-27000 + 300x + 90x = 2x(300 + -1x)

Combine like terms: 300x + 90x = 390x
-27000 + 390x = 2x(300 + -1x)
-27000 + 390x = (300 * 2x + -1x * 2x)
-27000 + 390x = (600x + -2x2)

Solving
-27000 + 390x = 600x + -2x2

Solving for variable 'x'.

Combine like terms: 390x + -600x = -210x
-27000 + -210x + 2x2 = 600x + -2x2 + -600x + 2x2

Reorder the terms:
-27000 + -210x + 2x2 = 600x + -600x + -2x2 + 2x2

Combine like terms: 600x + -600x = 0
-27000 + -210x + 2x2 = 0 + -2x2 + 2x2
-27000 + -210x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-27000 + -210x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-13500 + -105x + x2) = 0

Factor a trinomial.
2((-75 + -1x)(180 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-75 + -1x)' equal to zero and attempt to solve: Simplifying -75 + -1x = 0 Solving -75 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + -1x = 0 + 75 Combine like terms: -75 + 75 = 0 0 + -1x = 0 + 75 -1x = 0 + 75 Combine like terms: 0 + 75 = 75 -1x = 75 Divide each side by '-1'. x = -75 Simplifying x = -75

Subproblem 2

Set the factor '(180 + -1x)' equal to zero and attempt to solve: Simplifying 180 + -1x = 0 Solving 180 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-180' to each side of the equation. 180 + -180 + -1x = 0 + -180 Combine like terms: 180 + -180 = 0 0 + -1x = 0 + -180 -1x = 0 + -180 Combine like terms: 0 + -180 = -180 -1x = -180 Divide each side by '-1'. x = 180 Simplifying x = 180

Solution

x = {-75, 180}

See similar equations:

| 2xy+x-10y-10=400 | | 3(a+8)=27 | | 5-3d-12+d= | | 8x-5(x+3)=18 | | x+x(2x+18)(2x+18)=180 | | h-6h= | | x+x(2x+18)(2x+18)=360 | | 7(x+3)-9=2(x-4) | | 26=2(4a+5) | | M=n+3m | | -2x+3y+4x-y=0 | | (2a-3b)-(3a+4b)=0 | | (x-2y)-(2x-3y)=0 | | 6x-4y+1=0 | | 3x+7=-89-8x | | 3(6x-2)-7(3x-3)=0 | | (4u-3x)(4u-2x+3)=0 | | 2x-6=10+11x+2 | | (3x+2)=26 | | 110=4x+3(-7x-3) | | 4(10-1x)=28 | | 23x+11y=-2 | | 4(x-10)=28 | | log(2x-10)=3 | | 2(x+1)+4x=3(2x+1)+8 | | (x)2+6x+(y)2-4y=-4 | | 5(x+1)-3(x+4)=3 | | 2/5y-x/3=0 | | 6X=0.75*16 | | -15+x^2=1 | | (9-7)*5=15 | | 2xsquared=100 |

Equations solver categories