-x^2+23x-120=0

Simple and best practice solution for -x^2+23x-120=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 -x^2+23x-120=0 equation: 


Simplifying
-1x2 + 23x + -120 = 0

Reorder the terms:
-120 + 23x + -1x2 = 0

Solving
-120 + 23x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-15 + x)(8 + -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 '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {15, 8}

See similar equations:

| 7x+9=13x+2 | | 2t+3t-7t= | | cos(2x)=sinx | | 2y-3(2-y)+4y= | | 4x^2-9x+13=0 | | 7x+120=2.75x^2 | | 3y=6x-6 | | In(x)+In(x^2)=6 | | 2t*8t^2= | | -14+70=2(4x) | | 4x-8x=32+64 | | (3u+4)(2u-x-2)= | | k^3-3k-2=0 | | 3a-5ac=6 | | 128-32+4=100 | | 10-3i=I(4+i) | | 4=9*sin(x)*cos(x) | | x-5.1=10.1 | | 2.1x=4.2 | | 3.1+x=5.1 | | 16x-7x=144 | | 3x+4y=7forx | | M^3=81 | | 49x^2+70x+16=0 | | (x^3+27)+(x+3)(x-3)=0 | | x(3-x)=10 | | 4y^2-33y-27=0 | | 4y^2-33y+27=0 | | =(2*a)*(1.5*a) | | =(2*a)*(2*b) | | 4q+5Q= | | u+4*(1-u)=5-3u |

Equations solver categories