3x^2+5x-4=20-9x

Simple and best practice solution for 3x^2+5x-4=20-9x 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+5x-4=20-9x equation: 


Simplifying
3x2 + 5x + -4 = 20 + -9x

Reorder the terms:
-4 + 5x + 3x2 = 20 + -9x

Solving
-4 + 5x + 3x2 = 20 + -9x

Solving for variable 'x'.

Reorder the terms:
-4 + -20 + 5x + 9x + 3x2 = 20 + -9x + -20 + 9x

Combine like terms: -4 + -20 = -24
-24 + 5x + 9x + 3x2 = 20 + -9x + -20 + 9x

Combine like terms: 5x + 9x = 14x
-24 + 14x + 3x2 = 20 + -9x + -20 + 9x

Reorder the terms:
-24 + 14x + 3x2 = 20 + -20 + -9x + 9x

Combine like terms: 20 + -20 = 0
-24 + 14x + 3x2 = 0 + -9x + 9x
-24 + 14x + 3x2 = -9x + 9x

Combine like terms: -9x + 9x = 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:

| 3x^2+5x-4=30-9x | | (y-3)+7=14 | | 4Y-5-8=0 | | -y^3+2y^2+3y=0 | | -4-(2p+1)=-14+p | | -3(t+5)=6 | | 5x=6x+12 | | 2(-2x-3)=-46 | | -4x+7x-9=3x-6-38 | | -2k+9=3(3-4K) | | mw+mz=r | | xsquared-8x+15=0 | | 7=y-15 | | 810=15X | | 5(2x-1)+x+17=5x | | 6b-10=2 | | -4x-6=-69+5 | | -pi*sin(pix)=0 | | 660=12X | | 2(x-3)-6x= | | 5(6x-6)=20 | | 5x+10=4+10x | | 3(2x+4)=5(6x-1) | | 8x+3=12+4x | | 34-(3c+4)=2(c+3)+3 | | 6x^3-36x^2=0 | | 2s+-4s= | | -4x-6=-69+5x | | 9x-14=7x+6 | | 63-5x=7 | | f(-4)=4x-7 | | -2(2x+y)-6(x-y)= |

Equations solver categories