(2x-6)(3x-5)=

Simple and best practice solution for (2x-6)(3x-5)= 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 (2x-6)(3x-5)= equation: 


Simplifying
(2x + -6)(3x + -5) = 0

Reorder the terms:
(-6 + 2x)(3x + -5) = 0

Reorder the terms:
(-6 + 2x)(-5 + 3x) = 0

Multiply (-6 + 2x) * (-5 + 3x)
(-6(-5 + 3x) + 2x * (-5 + 3x)) = 0
((-5 * -6 + 3x * -6) + 2x * (-5 + 3x)) = 0
((30 + -18x) + 2x * (-5 + 3x)) = 0
(30 + -18x + (-5 * 2x + 3x * 2x)) = 0
(30 + -18x + (-10x + 6x2)) = 0

Combine like terms: -18x + -10x = -28x
(30 + -28x + 6x2) = 0

Solving
30 + -28x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + -14x + 3x2) = 0

Factor a trinomial.
2((5 + -3x)(3 + -1x)) = 0

Ignore the factor 2.

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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {1.666666667, 3}

See similar equations:

| 8-8m=8m-56 | | 5p^2-11p=16 | | 80+x-45=78 | | 50x+20y=530 | | 4(x+3)=-8x+48 | | 8z^2+2z-iz=0 | | 7x-20=-13 | | 3(2x-9)=39 | | .5x+y=1 | | 0.017=0.09 | | 9y+26=5(y-2) | | -3x+97-41=4-60 | | 5x+4y-2x= | | -6(1x-3)-26=-8 | | -5(x+2)=-3x-30 | | 4y^2-20y-56= | | 2a-5=4(3a+10)-2 | | 14z^2=21z | | 4t+1-2t=2(t-3) | | -27=5(v-7)-3v | | 8=5+3u | | -6/7y8 | | 2x-1x+5x= | | 2(w+3)-8w=30 | | 7(x-5)-6(2-3x)=12(x+1) | | 4(y-3)+4y=12 | | 5(-5)(-6)= | | 7y+5x=10 | | 58=195-y | | -24=-2u+6(u+2) | | (N-2)180=17 | | x-29=-36 |

Equations solver categories