(5x-8)(4+2x)=0

Simple and best practice solution for (5x-8)(4+2x)=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-8)(4+2x)=0 equation: 


Simplifying
(5x + -8)(4 + 2x) = 0

Reorder the terms:
(-8 + 5x)(4 + 2x) = 0

Multiply (-8 + 5x) * (4 + 2x)
(-8(4 + 2x) + 5x * (4 + 2x)) = 0
((4 * -8 + 2x * -8) + 5x * (4 + 2x)) = 0
((-32 + -16x) + 5x * (4 + 2x)) = 0
(-32 + -16x + (4 * 5x + 2x * 5x)) = 0
(-32 + -16x + (20x + 10x2)) = 0

Combine like terms: -16x + 20x = 4x
(-32 + 4x + 10x2) = 0

Solving
-32 + 4x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-16 + 2x + 5x2) = 0

Factor a trinomial.
2((-2 + -1x)(8 + -5x)) = 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 '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

Solving
8 + -5x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 0 + -8
-5x = 0 + -8

Combine like terms: 0 + -8 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6
Solution
x = {-2, 1.6}

See similar equations:

| 3Y+Z=0 | | 22y-2=60 | | 16y-4=20 | | 12x-56=3x+8 | | 2n-11=0 | | 3x-(5x-8)=4 | | 5x^2+14x-25=0 | | (10x*10x)-x=2 | | (10x*10x)+x=2 | | 48/1/8 | | -0.25e+7e= | | 48/.125 | | z^2-2zi+3=0 | | 2x+5=7-6x | | 72x-7x=80+2x-16 | | abc/2a | | (2x-1)*(2x-1)-3x(1-2x)+2x=1 | | 22-3(x-2)=5(4-x)+10 | | 3(4x-9)=33 | | (1-x)(6-x)(2-x)+8-2(6-x)-21(1-x)+2(2-x)=0 | | x=25/ | | 6a+0.75b= | | -96+27x=-12x | | 4[y-2]=16 | | 27x-96=8x-20x | | x=25/4x | | 9x+45=8 | | 9x+45=4 | | tan^2x+1=0 | | 9x=80-8y | | 0=x^3+8x^2 | | x^2-ix+i-1=0 |

Equations solver categories