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

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


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

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

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

Multiply (5 + 3x) * (-6 + 7x)
(5(-6 + 7x) + 3x * (-6 + 7x)) = 0
((-6 * 5 + 7x * 5) + 3x * (-6 + 7x)) = 0
((-30 + 35x) + 3x * (-6 + 7x)) = 0
(-30 + 35x + (-6 * 3x + 7x * 3x)) = 0
(-30 + 35x + (-18x + 21x2)) = 0

Combine like terms: 35x + -18x = 17x
(-30 + 17x + 21x2) = 0

Solving
-30 + 17x + 21x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve:

Simplifying
-5 + -3x = 0

Solving
-5 + -3x = 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 + -3x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = 0 + 5
-3x = 0 + 5

Combine like terms: 0 + 5 = 5
-3x = 5

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

Subproblem 2
Set the factor '(6 + -7x)' equal to zero and attempt to solve:

Simplifying
6 + -7x = 0

Solving
6 + -7x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7x = 0 + -6

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

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

Divide each side by '-7'.
x = 0.8571428571

Simplifying
x = 0.8571428571
Solution
x = {-1.666666667, 0.8571428571}

See similar equations:

| 2y-10=26 | | -2/5(10y-5)=14 | | 1.2b-0.8b=3.2 | | y=40x+10 | | 4a+6-2a=33 | | x^2+28x-20=0 | | 0.8x+6.5=0.1 | | 4=6x-3(X-4) | | a=-777777--777777 | | 7x=y+12 | | 27+8.50t=78 | | 0.3(8c-64)=57.6 | | 0.65x+0.3x=x-1 | | a+1=00000000000000000000000000000000.(3) | | 3t=3.6 | | 21+y=22 | | 4-x=2-x-3 | | 3/10=x/180 | | 12x+8=14-4 | | X(-7)=18 | | x^7+6x^6+12x^5+8x^4+z^9+8z^8+24z^7+32z^6+16z^5=0 | | -6(1-3k)=40-5k | | 4/3x3.14x5^3 | | y=(x+1)(x+7) | | 7n+1=18n-2n-2+n | | -4+3x=-2x+2 | | 4/72 | | -2x+22=4(8x-3) | | (x+1)2-5x+1=0 | | 5(n-2)+1=-4n+9 | | o(30)=2(30)-1 | | 2b^3+3b^2-12b=0 |

Equations solver categories