3x^2+12x-9=3-4x

Simple and best practice solution for 3x^2+12x-9=3-4x 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+12x-9=3-4x equation: 


Simplifying
3x2 + 12x + -9 = 3 + -4x

Reorder the terms:
-9 + 12x + 3x2 = 3 + -4x

Solving
-9 + 12x + 3x2 = 3 + -4x

Solving for variable 'x'.

Reorder the terms:
-9 + -3 + 12x + 4x + 3x2 = 3 + -4x + -3 + 4x

Combine like terms: -9 + -3 = -12
-12 + 12x + 4x + 3x2 = 3 + -4x + -3 + 4x

Combine like terms: 12x + 4x = 16x
-12 + 16x + 3x2 = 3 + -4x + -3 + 4x

Reorder the terms:
-12 + 16x + 3x2 = 3 + -3 + -4x + 4x

Combine like terms: 3 + -3 = 0
-12 + 16x + 3x2 = 0 + -4x + 4x
-12 + 16x + 3x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-12 + 16x + 3x2 = 0

Factor a trinomial.
(-6 + -1x)(2 + -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 '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {-6, 0.6666666667}

See similar equations:

| -35+12x=5y | | J=q(B-x) | | 6x+8y+1=0 | | 15c-12/3 | | 8y^2=-16y+384 | | 17=w-33 | | 16+2u=4u | | -9(y-5)-10=-3y-y-5 | | 5/(2x-3)-8/(3-2x)=1 | | (x+2)(x-6)=-18 | | 10-(-9(y-5))=-3y-(y-5) | | -9(y-5)-10=-3y(y-5) | | x^2+30x-75=0 | | c=20.00-0.09x | | 5/6/1/3*1/4 | | 5/6/1/3*1/$ | | (60-X)2/4=20 | | 5xy+9=50 | | 4(k+8)=24+32 | | 11-5y-13=8y+26-6y | | -5x+6(2x-6)=-20-9x | | 4y-2+y=3+8y-8 | | x=38+2x+4 | | x+.07x=1200 | | k^2=49/64 | | (-4x)/4 | | 6k+1=4k-9 | | 1/4c=-1/12 | | 5+2n=3n-7 | | 10x+x=160 | | 5(6+h)=30+45 | | 9m+8=27+8 |

Equations solver categories