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

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


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

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

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

Multiply (-4 + 2x) * (-5 + 4x)
(-4(-5 + 4x) + 2x * (-5 + 4x)) = 0
((-5 * -4 + 4x * -4) + 2x * (-5 + 4x)) = 0
((20 + -16x) + 2x * (-5 + 4x)) = 0
(20 + -16x + (-5 * 2x + 4x * 2x)) = 0
(20 + -16x + (-10x + 8x2)) = 0

Combine like terms: -16x + -10x = -26x
(20 + -26x + 8x2) = 0

Solving
20 + -26x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -13x + 4x2) = 0

Factor a trinomial.
2((5 + -4x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25

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 = {1.25, 2}

See similar equations:

| 4.2/=0.7 | | 7.9/2.1 | | -3(5+7x)= | | 1915=16t^2 | | (s-4)(s+81)=0 | | -5y-19=5-13y | | A/2=a-4/6 | | 15-28f=13 | | -(2z-1)=-2z+7 | | -17+x^2+13=0 | | Sover-19=9 | | 13y=12y-18 | | d=(6/d)-1 | | Y(3y-16)=-24 | | n+(-n)=3+5 | | 8a-8=64 | | 70-3x=80-23x | | 2(x-2)+6=4x-2(-2+x) | | 16sin^2=12 | | 3x+8+x+10=90 | | 4b=-3b+11 | | 1+x/4+x=.30 | | -7(3h-2)=-28 | | 4126/318 | | 3b+10+2b=-25 | | -123+7x=84-2x | | y=(9/8)x-6 | | -x+11=-8x-7 | | -3(5t-12)=1-(20t+1) | | 1.8+0.6n=4.8 | | 1.2*tan(3)=x | | 29=-7a-5a |

Equations solver categories