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

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


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

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

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

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

Combine like terms: -10x + -4x = -14x
(20 + -14x + 2x2) = 0

Solving
20 + -14x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -7x + x2) = 0

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

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {2, 5}

See similar equations:

| 40+8p=-8(-2p-8) | | 2(x+3)=10/:2 | | (x-2)(x^2-8x+9)=0 | | 3.5x+3=4.75x-12 | | 4z/10-1=8 | | 0.75y=1500 | | 8k-2=58 | | 16x^5-8x^4/2x^2 | | (2x+5)(x)=360 | | 4f-4=24 | | 72=x(x-1)(x+9) | | n^2+8-7= | | 90x=52 | | 40x+21y=162 | | 15y+13=58 | | -76=5y-10+1 | | 6+36=-3x | | 3x+5=-4(x-6) | | X-.06x=150000 | | 15x^4-6x^2= | | (m-5)*x^2-4mx+m-2=0 | | 10=5/3x | | 10(v+4)-2v=2(4v+1)-11 | | -4.1-y=4 | | 20=2*exp(x*ln(50)) | | 9s-7=2 | | 17-6x=-63-7x | | -4(2)-y=4 | | 1.4x+3.8=16.4 | | 2x+6+3x-7=2 | | 196w^2-100= | | -20x^2+52x+24=0 |

Equations solver categories