(5x-3)(2x-4)=0

Simple and best practice solution for (5x-3)(2x-4)=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 (5x-3)(2x-4)=0 equation: 


Simplifying
(5x + -3)(2x + -4) = 0

Reorder the terms:
(-3 + 5x)(2x + -4) = 0

Reorder the terms:
(-3 + 5x)(-4 + 2x) = 0

Multiply (-3 + 5x) * (-4 + 2x)
(-3(-4 + 2x) + 5x * (-4 + 2x)) = 0
((-4 * -3 + 2x * -3) + 5x * (-4 + 2x)) = 0
((12 + -6x) + 5x * (-4 + 2x)) = 0
(12 + -6x + (-4 * 5x + 2x * 5x)) = 0
(12 + -6x + (-20x + 10x2)) = 0

Combine like terms: -6x + -20x = -26x
(12 + -26x + 10x2) = 0

Solving
12 + -26x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + -13x + 5x2) = 0

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

Ignore the factor 2.

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

Simplifying
3 + -5x = 0

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

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

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

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0.6, 2}

See similar equations:

| 3x+x^2=17 | | x^2-5x=13-81 | | -4+2=-7+9 | | 10-5y/3=5 | | 3x^2-64x+21=0 | | 4x+8+2x=44 | | 3(x-5)-2x=-15+1 | | 4x-3x+15=12-4 | | (3n+4)(n+3)=0 | | 5x^2-65x^2+200x=0 | | -z+9=3 | | y=9.79x | | 5x^2=35x-30 | | 5x^2=35x-3 | | 5y=72-3y | | x^2+7x=9-5x | | tan3x=5/4 | | 0.41+0.16(x-1)+1.01=3.66 | | 2-9m=21 | | 4(2x+3)=2x+40-x | | x^2-2x-1=9-5x | | 4x+40=2x-8 | | 10/15=20/30 | | 4x^3-6x^2-2x=0 | | 4m+wr=r-9f | | 2-11m=-2+21 | | X=6+5y | | x-0.3=1.6 | | 6x+3(x*10)=61-(x+1) | | 4n^2+2n=8 | | 8x´/8x | | 7b-2b+2a= |

Equations solver categories