3x^2+11x-4=20-3x

Simple and best practice solution for 3x^2+11x-4=20-3x 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+11x-4=20-3x equation: 


Simplifying
3x2 + 11x + -4 = 20 + -3x

Reorder the terms:
-4 + 11x + 3x2 = 20 + -3x

Solving
-4 + 11x + 3x2 = 20 + -3x

Solving for variable 'x'.

Reorder the terms:
-4 + -20 + 11x + 3x + 3x2 = 20 + -3x + -20 + 3x

Combine like terms: -4 + -20 = -24
-24 + 11x + 3x + 3x2 = 20 + -3x + -20 + 3x

Combine like terms: 11x + 3x = 14x
-24 + 14x + 3x2 = 20 + -3x + -20 + 3x

Reorder the terms:
-24 + 14x + 3x2 = 20 + -20 + -3x + 3x

Combine like terms: 20 + -20 = 0
-24 + 14x + 3x2 = 0 + -3x + 3x
-24 + 14x + 3x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-24 + 14x + 3x2 = 0

Factor a trinomial.
(-6 + -1x)(4 + -3x) = 0


Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {-6, 1.333333333}

See similar equations:

| x-(-5)=-3 | | 5=-4x^2-3x | | 2w-5/6=w+15 | | 7-3x^3+6x= | | x^2+6*32=52009 | | -12x-33=6 | | x^2+y*32=650 | | -0.5x-23=0.75-7x-1 | | -12-(-18)/6 | | x^2+6*32=52 | | 297/5724 | | h(t)=-16t^2+256 | | x^2+y*32=52 | | h(t)=-16t+256 | | 2v^2+2v=23 | | 2970000/57240000 | | 3z+14z+15=0 | | In(2x+1)-Inx=In(x+2) | | 4(w+9)=2w+32 | | 1/8D-3(D-7)=41/8D-3 | | 3y^2/y+12y/y-21/y | | d=r/t | | (n+2)(n+2)=-2n | | -8y=-66 | | 12x^2-9x-9=0 | | y=4/(9X-45) | | 8x+13y=-8 | | 5s+36/s | | M^2=24+2m | | 8x-5y=-5 | | (P+11)+(3P-20)+P=691 | | -4x+6y=-8 |

Equations solver categories