6(3x+11)(4x-9)=0

Simple and best practice solution for 6(3x+11)(4x-9)=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 6(3x+11)(4x-9)=0 equation: 


Simplifying
6(3x + 11)(4x + -9) = 0

Reorder the terms:
6(11 + 3x)(4x + -9) = 0

Reorder the terms:
6(11 + 3x)(-9 + 4x) = 0

Multiply (11 + 3x) * (-9 + 4x)
6(11(-9 + 4x) + 3x * (-9 + 4x)) = 0
6((-9 * 11 + 4x * 11) + 3x * (-9 + 4x)) = 0
6((-99 + 44x) + 3x * (-9 + 4x)) = 0
6(-99 + 44x + (-9 * 3x + 4x * 3x)) = 0
6(-99 + 44x + (-27x + 12x2)) = 0

Combine like terms: 44x + -27x = 17x
6(-99 + 17x + 12x2) = 0
(-99 * 6 + 17x * 6 + 12x2 * 6) = 0
(-594 + 102x + 72x2) = 0

Solving
-594 + 102x + 72x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-99 + 17x + 12x2) = 0

Factor a trinomial.
6((-11 + -3x)(9 + -4x)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-11 + -3x)' equal to zero and attempt to solve:

Simplifying
-11 + -3x = 0

Solving
-11 + -3x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -3x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -3x = 0 + 11
-3x = 0 + 11

Combine like terms: 0 + 11 = 11
-3x = 11

Divide each side by '-3'.
x = -3.666666667

Simplifying
x = -3.666666667

Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve:

Simplifying
9 + -4x = 0

Solving
9 + -4x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 0 + -9
-4x = 0 + -9

Combine like terms: 0 + -9 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25
Solution
x = {-3.666666667, 2.25}

See similar equations:

| 3a-8+4b+6g=66 | | 3x+5-x=3x+7 | | 2(-4-13)=37+3h | | 8X+5y=80 | | 8k-6+3k-2k=4*33 | | 5x+18=2(x+9)+3x | | 5x-2x-3=7x-2-5 | | -5x+6=4x+2 | | 12-5u=8m | | 3x/4=4 | | n+3(3n+2)=36 | | 3x+8=2x-12 | | 3y^2+4y=0 | | (-y)=7-2*1 | | 35-7r=-3(3+6r) | | 4x(x-k)=3-4k^2 | | 9x+7=8x+12 | | 7x+13=4x+14 | | 6(3+2x)-5=73 | | Sin(2x-pi/4) | | 8(3w-9)=4(6w+5) | | 1-y=-19 | | 5(2x-1)+3(2x+3)+12=0 | | 17-x=-1 | | 28+n=-5(n-8)+6 | | 5*2+7*3-3*-2(2+-3)= | | x^2+32x-480=0 | | 2(x-6)+(-x+1)=-5(2+x) | | 19y=1 | | h=4x(-3x-2) | | 10x-2(3x+1)=1-4(2x+3) | | g(x)=3x^3+4x^2-17x+6Factors |

Equations solver categories