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

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


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

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

Multiply (1 + 5x) * (8 + -1x)
(1(8 + -1x) + 5x * (8 + -1x)) = 0
((8 * 1 + -1x * 1) + 5x * (8 + -1x)) = 0
((8 + -1x) + 5x * (8 + -1x)) = 0
(8 + -1x + (8 * 5x + -1x * 5x)) = 0
(8 + -1x + (40x + -5x2)) = 0

Combine like terms: -1x + 40x = 39x
(8 + 39x + -5x2) = 0

Solving
8 + 39x + -5x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 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 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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

Simplifying
1 + 5x = 0

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

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

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

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2
Solution
x = {8, -0.2}

See similar equations:

| 15x=7(2+9x)-30 | | 4x^2-12x=4x^2+56x+49 | | kx=h | | 8x+8y-17xy=0 | | 7+4x-5+3x+3=180 | | 3x+5=.5(7x+8) | | 2-5x=x+7-11x | | 5x-2x-17=-1+6x-x | | 6x-2(2-x)=-4(2x-11) | | 7x+8/2=3x+5 | | 2x-43=4x | | 7x+8=3x+5 | | 3x+5/5+9x-5/4=6+3x+1/2 | | 3x-15+2x-14=x-11 | | 3x-26=-1 | | 2x+x-9=180 | | 0.40x+-0.20(50+x)=-0.04(50) | | g(x)=-0.25x | | (1/2x+1/3x)/5/6 | | x^2+x+132= | | 4y=-x+20 | | 9a^2-1/4 | | 12z=144 | | 3(x+2)-x+1=x | | 35/5(6-3) | | 32x^2-50y^2=0 | | 7(x-6)/4=5(x+1)/3-3(x+2) | | 9.7x-5.7=-1.7 | | 3(x+2)-x+1=1 | | 5k+3=-12 | | x-.14(x)=270.00 | | 7x+12-9x=17-15x+13x-5 |

Equations solver categories