3x^2+6x-6=19-4x

Simple and best practice solution for 3x^2+6x-6=19-4x 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+6x-6=19-4x equation: 


Simplifying
3x2 + 6x + -6 = 19 + -4x

Reorder the terms:
-6 + 6x + 3x2 = 19 + -4x

Solving
-6 + 6x + 3x2 = 19 + -4x

Solving for variable 'x'.

Reorder the terms:
-6 + -19 + 6x + 4x + 3x2 = 19 + -4x + -19 + 4x

Combine like terms: -6 + -19 = -25
-25 + 6x + 4x + 3x2 = 19 + -4x + -19 + 4x

Combine like terms: 6x + 4x = 10x
-25 + 10x + 3x2 = 19 + -4x + -19 + 4x

Reorder the terms:
-25 + 10x + 3x2 = 19 + -19 + -4x + 4x

Combine like terms: 19 + -19 = 0
-25 + 10x + 3x2 = 0 + -4x + 4x
-25 + 10x + 3x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-25 + 10x + 3x2 = 0

Factor a trinomial.
(-5 + -1x)(5 + -3x) = 0


Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {-5, 1.666666667}

See similar equations:

| 4(6z-1)-2(z+1)=19(z+1) | | 8y=20y^2 | | 6+7(x-1)=11-9(x-4) | | 11y=y^3 | | n^2+3n-88= | | 3x^2=-3-4x | | 1/19x380 | | 2a(a-1)-2a^2= | | 108=2u^2+12 | | 75=y^2+3 | | -8x+6=9-9x | | -5(x+3)+84=4x-9(x-5) | | Factorx^2-10x= | | r/q-a/=1 | | 9x-12x-7=0 | | a^4b^5-a^5b^4=0 | | 35x5y2-75x3y4/-15x3y2 | | 2t-7=14-t | | 6(2x-4)-4(x+2)-18x= | | x/2-y/2=-1 | | 5(2x-5)-4(x+3)-20x= | | 2+6(X-5)=11-3(X-9) | | 12=2X+9 | | 17-9/2x=2 | | ln*x=ln*(x-5)+ln*6 | | 150/5-7x=3/2 | | 32-16x=64 | | 4x-5/2y=-15 | | 3x-y/y-3x | | -4x+4(-2x-4)=-22-6x | | n^2+7=8 | | -3*3*(-3)^2-(-5)/3*3*5 |

Equations solver categories