0=x^2-3x-378

Simple and best practice solution for 0=x^2-3x-378 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=x^2-3x-378 equation: 


Simplifying
0 = x2 + -3x + -378

Reorder the terms:
0 = -378 + -3x + x2

Solving
0 = -378 + -3x + x2

Solving for variable 'x'.

Combine like terms: 0 + 378 = 378
378 + 3x + -1x2 = -378 + -3x + x2 + 378 + 3x + -1x2

Reorder the terms:
378 + 3x + -1x2 = -378 + 378 + -3x + 3x + x2 + -1x2

Combine like terms: -378 + 378 = 0
378 + 3x + -1x2 = 0 + -3x + 3x + x2 + -1x2
378 + 3x + -1x2 = -3x + 3x + x2 + -1x2

Combine like terms: -3x + 3x = 0
378 + 3x + -1x2 = 0 + x2 + -1x2
378 + 3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
378 + 3x + -1x2 = 0

Factor a trinomial.
(21 + -1x)(18 + x) = 0


Subproblem 1
Set the factor '(21 + -1x)' equal to zero and attempt to solve:

Simplifying
21 + -1x = 0

Solving
21 + -1x = 0

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

Add '-21' to each side of the equation.
21 + -21 + -1x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = 0 + -21
-1x = 0 + -21

Combine like terms: 0 + -21 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21

Subproblem 2
Set the factor '(18 + x)' equal to zero and attempt to solve:

Simplifying
18 + x = 0

Solving
18 + x = 0

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

Add '-18' to each side of the equation.
18 + -18 + x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + x = 0 + -18
x = 0 + -18

Combine like terms: 0 + -18 = -18
x = -18

Simplifying
x = -18
Solution
x = {21, -18}

See similar equations:

| -5+3a=-32 | | 34+6b=-2(2b-7) | | 12x^2+60x-72=0 | | -9b+2-5=-74 | | v=0.72ar | | -9b+2-5=74 | | -(1/5)-(4/9)a=(2/15) | | 2x-5x=30+3x | | 7k+5k=-15.5 | | 2(9n+7)=23.5 | | 18.5+6.5f=5(6f+4) | | 5/x=1,61 | | 3.5(7.5-8.5v)=-18.5 | | 6(1+3n)=-26+2n | | 2b-36=72 | | X+3+3x-6=4 | | 7a-4a=-15.5 | | -7x+24=-5(4x+3) | | y=13/4x+10 | | -24.5=-8+3(h+9) | | 7(p+4)+4=5p+22 | | 2x-20+x-10=90 | | x^2-12x-72=0 | | 4.5(5.5c+4)=24.5 | | 16=x+17 | | X+4+3=9 | | 12=k+3k | | 4.5(1+7.5y)=20.5 | | 3/10y-2/5 | | -3x^2+15x+12.5=0 | | 5=3n+2n | | 4+2(1-5.5r)=-25.5 |

Equations solver categories