27x-x^2=180

Simple and best practice solution for 27x-x^2=180 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 27x-x^2=180 equation:


Simplifying
27x + -1x2 = 180

Solving
27x + -1x2 = 180

Solving for variable 'x'.

Reorder the terms:
-180 + 27x + -1x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + 27x + -1x2 = 0

Factor a trinomial.
(-15 + x)(12 + -1x) = 0

Subproblem 1

Set the factor '(-15 + x)' equal to zero and attempt to solve: Simplifying -15 + x = 0 Solving -15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x = 0 + 15 x = 0 + 15 Combine like terms: 0 + 15 = 15 x = 15 Simplifying x = 15

Subproblem 2

Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12

Solution

x = {15, 12}

See similar equations:

| x+(x+275000)=625000000 | | 135-6x=39x+15 | | 16r=64 | | 12x-43=5x+19 | | 2x+3x-7=38 | | 2r^2+r+6=0 | | 14x-(25-5x)=10+15 | | 2n-5n+11=2-3n+9 | | 4x+25=29 | | 2x+8+x=-12-2x | | -9k=2.34 | | y^4-25y^2+144=0 | | 4(4+3x)=136 | | 8x=48 | | 3(x-5)=3+x | | 12y-3=16y-9y | | 2Y+19=23 | | 4x^2-13x+7=8x+2 | | t^2+t=2 | | x^2+4x+p=0 | | 3x-9=1+x | | 6(6+7x)=456 | | 4(-18-2)-5*18=1 | | -2x-1/2=x/5 | | (2x+3)+(x-6)=90 | | 2+2-4+3-7+8= | | -6n+15=-5n-1 | | 2(4-5x)+9=2x-23-8x | | 7(6x+7)=91 | | 5+6x=3+5x-8 | | 3x=2x-17.5 | | 2x/5-2x-1/2=x/5 |

Equations solver categories