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

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


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

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

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

Multiply (-5 + 7x) * (7 + 6x)
3(-5(7 + 6x) + 7x * (7 + 6x)) = 0
3((7 * -5 + 6x * -5) + 7x * (7 + 6x)) = 0
3((-35 + -30x) + 7x * (7 + 6x)) = 0
3(-35 + -30x + (7 * 7x + 6x * 7x)) = 0
3(-35 + -30x + (49x + 42x2)) = 0

Combine like terms: -30x + 49x = 19x
3(-35 + 19x + 42x2) = 0
(-35 * 3 + 19x * 3 + 42x2 * 3) = 0
(-105 + 57x + 126x2) = 0

Solving
-105 + 57x + 126x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-35 + 19x + 42x2) = 0

Factor a trinomial.
3((-7 + -6x)(5 + -7x)) = 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 + -7x)' equal to zero and attempt to solve:

Simplifying
5 + -7x = 0

Solving
5 + -7x = 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 + -7x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = 0 + -5
-7x = 0 + -5

Combine like terms: 0 + -5 = -5
-7x = -5

Divide each side by '-7'.
x = 0.7142857143

Simplifying
x = 0.7142857143
Solution
x = {-1.166666667, 0.7142857143}

See similar equations:

| 5(x-1)-4=3x+4(-2+x) | | 281=38-w | | 5x^2-9=2 | | (2x-4)/(x+2)=1/2 | | 1395261+3854= | | 8x+7x-8=0 | | 250000-3y=7y+10007 | | (t+16)(t+64)=0 | | 6(x-1)+6=2x+4(1+x) | | f(x)=12-9x | | 34+(-5)=a | | 3y-6/-4=12 | | 34+(-5)= | | 6x-4=2(x+1)+4x-6 | | (12x^2)+6x-36=0 | | 2b(9b-2)=0 | | -4(t-1)+7t=5t-7 | | (8-2)x=40 | | 4/5=-9n/3 | | 7n-3n=27-3 | | (4x^3)+(3x^2)-36x=0 | | 5(7x-9)+2=35x-43 | | y=3x^2+16x-64 | | 20X^3+11X^2-23x+4/5x-1 | | 6x-2=6(x+7) | | h=-16t^2+250ho | | 9+8x=58+6 | | 16=2*2+x | | 4x-1.2=3x-2 | | 5x^2-5x-21=0 | | 0.08(y-3)+0.10y=0.20y-0.01(40) | | 150000-8y=2y+10002 |

Equations solver categories