3(4x-5)(6x+7)=0

Simple and best practice solution for 3(4x-5)(6x+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)(6x+7)=0 equation: 


Simplifying
3(4x + -5)(6x + 7) = 0

Reorder the terms:
3(-5 + 4x)(6x + 7) = 0

Reorder the terms:
3(-5 + 4x)(7 + 6x) = 0

Multiply (-5 + 4x) * (7 + 6x)
3(-5(7 + 6x) + 4x * (7 + 6x)) = 0
3((7 * -5 + 6x * -5) + 4x * (7 + 6x)) = 0
3((-35 + -30x) + 4x * (7 + 6x)) = 0
3(-35 + -30x + (7 * 4x + 6x * 4x)) = 0
3(-35 + -30x + (28x + 24x2)) = 0

Combine like terms: -30x + 28x = -2x
3(-35 + -2x + 24x2) = 0
(-35 * 3 + -2x * 3 + 24x2 * 3) = 0
(-105 + -6x + 72x2) = 0

Solving
-105 + -6x + 72x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-35 + -2x + 24x2) = 0

Factor a trinomial.
3((-7 + -6x)(5 + -4x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-7 + -6x)' equal to zero and attempt to solve:

Simplifying
-7 + -6x = 0

Solving
-7 + -6x = 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 + -6x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -6x = 0 + 7
-6x = 0 + 7

Combine like terms: 0 + 7 = 7
-6x = 7

Divide each side by '-6'.
x = -1.166666667

Simplifying
x = -1.166666667

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 = {-1.166666667, 1.25}

See similar equations:

| 30=2-n*5 | | 3/4m=9 | | -5x-1=4(5-3x) | | (12x^4/24x^-2)^-2 | | .75(x+8)=6.1875 | | 7(-6+7r)=-336 | | 2mn=5m+p | | 12x^4/24x^-2 | | (3x-5)*6=(5x-7) | | -3/5y=1/4 | | -210=-7(2-4b) | | 10-5x=60 | | -133=7(2x-3) | | 8x+8(8x-2)=7x-29 | | 5a^2+28ab-49b^2=0 | | -3(3-p)=24-8p | | 0.3x+0.2x+1=-9 | | 7(3r-3)-3r=-165 | | 76-4x= | | 4(1+x+2+x)=180 | | 82=-2(1+6n) | | 200=5*2n | | 5z+7-z=1+3z-4 | | 5(2n+5)=95 | | 108=18n | | -631.9830/1000 | | x-3=1-2 | | 5.99x+4.99y=50 | | 4n-6=1on | | 11+14=3s | | -3(x+7)-2=-23 | | P+13=31 |

Equations solver categories