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

Simple and best practice solution for (6x-5)(2x-3)=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-5)(2x-3)=0 equation: 


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

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

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

Multiply (-5 + 6x) * (-3 + 2x)
(-5(-3 + 2x) + 6x * (-3 + 2x)) = 0
((-3 * -5 + 2x * -5) + 6x * (-3 + 2x)) = 0
((15 + -10x) + 6x * (-3 + 2x)) = 0
(15 + -10x + (-3 * 6x + 2x * 6x)) = 0
(15 + -10x + (-18x + 12x2)) = 0

Combine like terms: -10x + -18x = -28x
(15 + -28x + 12x2) = 0

Solving
15 + -28x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -6x)(3 + -2x) = 0


Subproblem 1
Set the factor '(5 + -6x)' equal to zero and attempt to solve:

Simplifying
5 + -6x = 0

Solving
5 + -6x = 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 + -6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 0 + -5
-6x = 0 + -5

Combine like terms: 0 + -5 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {0.8333333333, 1.5}

See similar equations:

| 6x-8+3x=3+9x-11 | | 144x^2+12=48 | | (6x-5)(2x-5)=0 | | 2(4k+2)-15k+6+2= | | 4x-(5x+3)=9x-33 | | (-8)(2)(5)= | | -3(p-10)-6(5-3p)= | | y+3/2y+5/4=-5/7(y-3/4) | | 3X+162/6-X=258 | | 3(x+2)=2x+x+6 | | 2a+42=-26 | | X=333-2x | | 3x^2=11x+4 | | 7+(1+5n)+6+24n=13 | | 28=10+(-6x) | | 6x+2y-9(5x-4y)= | | -4(3y-10)+3(2y+7)= | | -15+7x=20 | | 25-(3x+2)=2 | | (8y-3)(2y+1)=0 | | 2x+2=3x-men | | 1/8(5y+65)=1/4(20+2y) | | x+3x+x/2-225 | | -5.9x-5.8=-5.5x-5.4 | | 7/10x=392 | | 6x^2-11x=-5 | | 5y-8-2y+7=0 | | 42=18-3x | | -2/3(3/2a-1)+5/6 | | 6x^2-11x=5 | | 9p+6=14+8p | | -3/4a=-5/8 |

Equations solver categories