3x^2+4x-224=0

Simple and best practice solution for 3x^2+4x-224=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 3x^2+4x-224=0 equation: 


Simplifying
3x2 + 4x + -224 = 0

Reorder the terms:
-224 + 4x + 3x2 = 0

Solving
-224 + 4x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-28 + -3x)(8 + -1x) = 0


Subproblem 1
Set the factor '(-28 + -3x)' equal to zero and attempt to solve:

Simplifying
-28 + -3x = 0

Solving
-28 + -3x = 0

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

Add '28' to each side of the equation.
-28 + 28 + -3x = 0 + 28

Combine like terms: -28 + 28 = 0
0 + -3x = 0 + 28
-3x = 0 + 28

Combine like terms: 0 + 28 = 28
-3x = 28

Divide each side by '-3'.
x = -9.333333333

Simplifying
x = -9.333333333

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 = {-9.333333333, 8}

See similar equations:

| 6m-6=8m-4 | | 11x^2-500x-2500=0 | | 5-10x=49-38x | | 1+3y=0 | | -101-7x=8x-19 | | -5-3y=0 | | 5x-4(2x+3)=x+2(3x+4) | | 9y^2+12y-5= | | x=13+-9y | | x+9y=13 | | 24+5m-2m=-7m+4m-54 | | 10-x^2=3x | | 5(x-6)=3(x+2) | | x^2+7x-228=0 | | 6v+3(2v+4)=2v-3(2v-9) | | y=0.7x+5.62 | | 8+x^2+6x=0 | | 9=x+12 | | 3r-5(r+3)=4r-16 | | 3(p-5)=3p-2(p+1) | | x^2-5x=2.75 | | 3y+7-y-8=2y+3-3y+13.5 | | 2a+11=8a-7 | | 68-2x=16x+16 | | 6+x=6 | | 51-7x=2x+16 | | 8x-5=5x-2 | | p/6+8=141/4 | | x^2-2x+3=1 | | 37/6+8=141/4 | | 2(x-1)+44=-4x | | (2a-3b)(4a^2+6ab+9b^2)= |

Equations solver categories