3(4X-5)(3X+7)=0

Simple and best practice solution for 3(4X-5)(3X+7)=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 3(4X-5)(3X+7)=0 equation: 


Simplifying
3(4X + -5)(3X + 7) = 0

Reorder the terms:
3(-5 + 4X)(3X + 7) = 0

Reorder the terms:
3(-5 + 4X)(7 + 3X) = 0

Multiply (-5 + 4X) * (7 + 3X)
3(-5(7 + 3X) + 4X * (7 + 3X)) = 0
3((7 * -5 + 3X * -5) + 4X * (7 + 3X)) = 0
3((-35 + -15X) + 4X * (7 + 3X)) = 0
3(-35 + -15X + (7 * 4X + 3X * 4X)) = 0
3(-35 + -15X + (28X + 12X2)) = 0

Combine like terms: -15X + 28X = 13X
3(-35 + 13X + 12X2) = 0
(-35 * 3 + 13X * 3 + 12X2 * 3) = 0
(-105 + 39X + 36X2) = 0

Solving
-105 + 39X + 36X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-35 + 13X + 12X2) = 0

Factor a trinomial.
3((-7 + -3X)(5 + -4X)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-7 + -3X)' equal to zero and attempt to solve:

Simplifying
-7 + -3X = 0

Solving
-7 + -3X = 0

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

Add '7' to each side of the equation.
-7 + 7 + -3X = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3X = 0 + 7
-3X = 0 + 7

Combine like terms: 0 + 7 = 7
-3X = 7

Divide each side by '-3'.
X = -2.333333333

Simplifying
X = -2.333333333

Subproblem 2
Set the factor '(5 + -4X)' equal to zero and attempt to solve:

Simplifying
5 + -4X = 0

Solving
5 + -4X = 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 + -4X = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4X = 0 + -5
-4X = 0 + -5

Combine like terms: 0 + -5 = -5
-4X = -5

Divide each side by '-4'.
X = 1.25

Simplifying
X = 1.25
Solution
X = {-2.333333333, 1.25}

See similar equations:

| y^2-99=0 | | 324=X^2 | | 3x-2=3(x-.6) | | 2x-6=6x-50 | | Ln(x+7)+ln(x-7)=0 | | (M+8s)B=8v | | 0=4x^2+10x+6 | | 33x*3=0 | | L=2(3.5)+1 | | (2w+1)w=28 | | 12x^2-14x-2=0 | | 4u^2+20u+21=0 | | (4x-5)-(2x+6)=18 | | 5-x=x+9 | | -4-3n=-16 | | 5x-(2x-4)=6 | | 5v^2-2v-3=0 | | x-8=1*4 | | 11a+8=-2+9a | | y=2.57x+7.09 | | -4-3n=16 | | 3x+7=16+6x | | 0x-8=1 | | 3x-12=-16 | | 4x-8y+3x-3y= | | L=12+-1W | | 7z-9=3z+19 | | 2(L+W)=24 | | -4z=35-9z | | -11m=14-9m | | (2w+3)w=54 | | 4w^2-33w+35=0 |

Equations solver categories