2(x-3)(3x+4)=0

Simple and best practice solution for 2(x-3)(3x+4)=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 2(x-3)(3x+4)=0 equation: 


Simplifying
2(x + -3)(3x + 4) = 0

Reorder the terms:
2(-3 + x)(3x + 4) = 0

Reorder the terms:
2(-3 + x)(4 + 3x) = 0

Multiply (-3 + x) * (4 + 3x)
2(-3(4 + 3x) + x(4 + 3x)) = 0
2((4 * -3 + 3x * -3) + x(4 + 3x)) = 0
2((-12 + -9x) + x(4 + 3x)) = 0
2(-12 + -9x + (4 * x + 3x * x)) = 0
2(-12 + -9x + (4x + 3x2)) = 0

Combine like terms: -9x + 4x = -5x
2(-12 + -5x + 3x2) = 0
(-12 * 2 + -5x * 2 + 3x2 * 2) = 0
(-24 + -10x + 6x2) = 0

Solving
-24 + -10x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + -5x + 3x2) = 0

Factor a trinomial.
2((-4 + -3x)(3 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-1.333333333, 3}

See similar equations:

| (5x-2)(5x-2)=17 | | 2n+3=5n-2 | | 11x+9=6x+9 | | 3x-60=2x-10 | | 5-7x=4+7x | | 245x^2-119x-212=-2 | | (4x)5-8=72 | | 3r^2-20r+26=-26 | | 24m^2-126m-111=-3 | | 26x+15=31x-10 | | -4b+4+2b=3b-16 | | 2k^2+13k+15=0 | | 2(4x+3)=46 | | 1000(4563y+344-8)=234 | | 3p^2-33p=0 | | 15-19=20 | | 9x+27=99 | | y=7x^2-18+20 | | 6*[(6*2.3)+3.9]= | | -10+7(a+3)=4(2a-1)+5 | | (x-4)-(x-7)=8x | | 49x^2-70x+16=0 | | 40x^2+11x-21=0 | | 2(2x-3)=18 | | x+(x+1)=3x | | 19x-13x=12 | | 5(x-3)-2(2x+4)=2(x-2) | | x^3+42x^2+3x=0 | | r^2-10=-22 | | 20=0.16-1.28 | | 4x+20=2x+12 | | b-4=8 |

Equations solver categories