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

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


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

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

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

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

Combine like terms: -20x + 4x = -16x
(-16 + -16x + 5x2) = 0

Solving
-16 + -16x + 5x2 = 0

Solving for variable 'x'.

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


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

Simplifying
-4 + -5x = 0

Solving
-4 + -5x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5x = 0 + 4

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

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

Divide each side by '-5'.
x = -0.8

Simplifying
x = -0.8

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-0.8, 4}

See similar equations:

| 3(h+2)-h=2(h+1) | | 3(13)-4+(13)=48 | | 0.6d=4-1.6d | | e^2x+3=7 | | 3(w)-4+w=48 | | 5+5+5=3(5)-10+5+3(5)-10 | | 2(5x-7)=43 | | 7t+18=-6+8t | | 51x=21x+90 | | 50x=21x+90 | | 6x-3=6x-x | | .5x+.25x+2=100 | | 10x-8y=2 | | 10x+8y=2 | | 4x+2=9x+7 | | 3x-4(2x+3)=8 | | 3x-8x+12=8 | | X+4=0.5X+10 | | l+l+l=3l-10+l+3l-10 | | 8y^2-28y-60=0 | | 2x-2y=k | | 43+2(45)+2+(45)=180 | | 2x+y=y+14 | | 7y^2-8y-2=0 | | -100a^2+49=0 | | 1-x-2x-3x=6x-1 | | 43+2a+2+a=180 | | 49-100a^2=0 | | c=48+0.06m | | -x+7y=38 | | 14x^2+3x-1=0 | | y-9y=54 |

Equations solver categories