120x^2+1800x-4080=0

Simple and best practice solution for 120x^2+1800x-4080=0 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 120x^2+1800x-4080=0 equation:


Simplifying
120x2 + 1800x + -4080 = 0

Reorder the terms:
-4080 + 1800x + 120x2 = 0

Solving
-4080 + 1800x + 120x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '120'.
120(-34 + 15x + x2) = 0

Factor a trinomial.
120((-17 + -1x)(2 + -1x)) = 0

Ignore the factor 120.

Subproblem 1

Set the factor '(-17 + -1x)' equal to zero and attempt to solve: Simplifying -17 + -1x = 0 Solving -17 + -1x = 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 + -1x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = 0 + 17 -1x = 0 + 17 Combine like terms: 0 + 17 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-17, 2}

See similar equations:

| 4(x+3)-1=6x-2(-4+x) | | x-7=-3x+4 | | 10n+16-12n=30 | | 0.03t=0.07+0.6t | | 100*6/2+80-20*5-6+180 | | z^2+12z+47=0 | | log(x^2-6x+9)=0 | | -162/-54t | | 20*3+8/2+80*6/3+8 | | ((t^2-9)/3t)(18/(6t-18)) | | (2y/3)-(7-y/4)=1 | | 85*6/3+6+80 | | 4x^2+25=10x | | 2x-1/3=x+1/2 | | 4/7=8/3x+4 | | 9b=2b-3(3-b) | | 54X^3y-128y^4= | | x=(111.625-3.625)*2/3 | | 3x+6=-(x-13) | | 1/6-4/5x=1/5x+19/6 | | 72=(x-3.625)*2/3 | | 5m=4 | | 12x^2+36-48x=0 | | x-(x*.30)=1680 | | 5x+9=12x+9 | | 4x+4=8+3x | | 3+6x=x | | -1/8x=-4.5 | | (3x+6)=(x-13) | | 4y^2+5y-25=0 | | 2/3x+13=-1/2x+8 | | -5x+5=-9x |

Equations solver categories