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

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


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

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

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

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

Combine like terms: -21x + 30x = 9x
(-35 + 9x + 18x2) = 0

Solving
-35 + 9x + 18x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -3x)(7 + -6x) = 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 '(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
Solution
x = {-1.666666667, 1.166666667}

See similar equations:

| 8xn-9=39 | | 21-3x/x-2/49-x^2/x | | 0.2(9p-12)=0.6(8-5p) | | x+7=2x+30 | | 29(p+1)=24 | | 21-3x/x-2 | | x-8/7=-4 | | 2x+6=-3x+4 | | 8(x+6)+2(x+6)=7x-7 | | 9-2(x-1)+5x=4(x-8) | | 18=5(x+9) | | x+7=2(x+15) | | 50=2(6)+2w | | 28=3x-y | | 0.2(-4*a+6)= | | x-6.5=8.2 | | 16-(x+3)=12 | | 5/14x2 | | 5y^2=-11-2 | | x^2-8z+16=0 | | 5/15x2/2 | | 2x-2y+z-24=0 | | 100=30h+70 | | X/2-9whenx=30 | | on(3x+1)=lnx | | 6+3(6x-2)=-12 | | 3x+64=7x+8 | | n+(n-6)=232 | | 4(3-x)-(x+2)=6+3(x-4) | | 33=-8+4(c+7) | | 5x=40/2 | | 8=×/6 |

Equations solver categories