0=3x+x^2-100-80

Simple and best practice solution for 0=3x+x^2-100-80 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 0=3x+x^2-100-80 equation: 


Simplifying
0 = 3x + x2 + -100 + -80

Reorder the terms:
0 = -100 + -80 + 3x + x2

Combine like terms: -100 + -80 = -180
0 = -180 + 3x + x2

Solving
0 = -180 + 3x + x2

Solving for variable 'x'.

Combine like terms: 0 + 180 = 180
180 + -3x + -1x2 = -180 + 3x + x2 + 180 + -3x + -1x2

Reorder the terms:
180 + -3x + -1x2 = -180 + 180 + 3x + -3x + x2 + -1x2

Combine like terms: -180 + 180 = 0
180 + -3x + -1x2 = 0 + 3x + -3x + x2 + -1x2
180 + -3x + -1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
180 + -3x + -1x2 = 0 + x2 + -1x2
180 + -3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
180 + -3x + -1x2 = 0

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


Subproblem 1
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

Subproblem 2
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
Solution
x = {12, -15}

See similar equations:

| 6w-9x=4w+7x | | 2.333333333333-x=12.3 | | 2.33-x=12.3 | | 4(p+3)+2(p-4)=14 | | 10x-17=3x+6 | | 4+3+9C-7C= | | 20y-6(2+2y)=6(y-3)+25 | | 3/5(4x-5) | | 3(m+2)+4(m-1)=12 | | 19x^3-3x=12x^2 | | -121=-4x-3(4x-13) | | 130=2x+7(2x-2) | | 14x+16=13-14x | | z^2+16=32 | | 2x^2+50x=0 | | 0=14x+x^2-225-255 | | 5(t+2)+3(t-1)=31 | | -1+2x=-4+2x | | 6x+8=-20-8 | | 4cos^2x+1=-4cosx | | 3(y+4)+2(y-3)=26 | | (0.04)^-3/2 | | 4x+28=81 | | (3x^1/2)-4=0 | | 5(y+1)+3(y+4)=25 | | 3x(^1/2)-4=0 | | b^2+4b+12= | | 15B+9C=6 | | 2^n*8^3n/4^5n | | 2(d+3)+4(d-1)=14 | | 5=1.78x^2+x^2 | | 4x+12=-30-3x |

Equations solver categories