(5x-8)(x+1)=0

Simple and best practice solution for (5x-8)(x+1)=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)(x+1)=0 equation: 


Simplifying
(5x + -8)(x + 1) = 0

Reorder the terms:
(-8 + 5x)(x + 1) = 0

Reorder the terms:
(-8 + 5x)(1 + x) = 0

Multiply (-8 + 5x) * (1 + x)
(-8(1 + x) + 5x * (1 + x)) = 0
((1 * -8 + x * -8) + 5x * (1 + x)) = 0
((-8 + -8x) + 5x * (1 + x)) = 0
(-8 + -8x + (1 * 5x + x * 5x)) = 0
(-8 + -8x + (5x + 5x2)) = 0

Combine like terms: -8x + 5x = -3x
(-8 + -3x + 5x2) = 0

Solving
-8 + -3x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x)(8 + -5x) = 0


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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1

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 = {-1, 1.6}

See similar equations:

| 9/5x7/6 | | 10y-8y-7=29.42 | | 6s+16.04=t | | 9/5*7/6 | | b+2/10=35/50 | | 3-2(x--4)=-11 | | 1/4y+2y-1=10 | | -8y+100=-3y+10 | | x-5000=3x | | 5/10*a=77 | | 1.8/2.4=a/0.5 | | 9x-9=2x^2 | | -5r-3=-5+8r | | x/315=14/105 | | (5+9)-(3+-12)=2(11+t) | | X-7=45-x | | 24x+32=5x+37 | | 500/6 | | 14y-9y-11=86.85 | | 6/500 | | -5z+7=13 | | -2(x-8)=14 | | 10X+12Y+12Z=20 | | 0.75(9x-4)+0.25x-4=28 | | 4/8=x/56 | | 4(x-15)=-9(x-2) | | 5*12+8/26*2 | | 3/7=x/49 | | 5p-6=2p+3 | | -10z+13+7z=-11 | | 3(x+2)+5=3-x | | 2(g-8)+7=5(a+2)-3a-18 |

Equations solver categories