(3x-5)(x-8)=0

Simple and best practice solution for (3x-5)(x-8)=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 (3x-5)(x-8)=0 equation: 


Simplifying
(3x + -5)(x + -8) = 0

Reorder the terms:
(-5 + 3x)(x + -8) = 0

Reorder the terms:
(-5 + 3x)(-8 + x) = 0

Multiply (-5 + 3x) * (-8 + x)
(-5(-8 + x) + 3x * (-8 + x)) = 0
((-8 * -5 + x * -5) + 3x * (-8 + x)) = 0
((40 + -5x) + 3x * (-8 + x)) = 0
(40 + -5x + (-8 * 3x + x * 3x)) = 0
(40 + -5x + (-24x + 3x2)) = 0

Combine like terms: -5x + -24x = -29x
(40 + -29x + 3x2) = 0

Solving
40 + -29x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -3x)(8 + -1x) = 0


Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

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

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

Subproblem 2
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
Solution
x = {1.666666667, 8}

See similar equations:

| 11+6y-8y=-3+3y | | 13x-4=7x-22 | | 48-32=4(12-x) | | -2gh(g^3h^5)=0 | | 7x+2=4x-9 | | 8b-8=-6(b-3)+6(1+2b) | | 12x-14=16x | | -(1+7x)-6(-7-x)=6 | | 7n-8+2+7n=0 | | -4(2+m)=2(m-7) | | 60y-108+12= | | Q+2=q+16 | | 12=1/3z+7 | | -4y^3-8xy^4=4y^3(1+2xy) | | 4y=5x+4 | | X-32=4(12-y) | | -6+4s=-2 | | 2u+4=16 | | 2(7x+3)=20 | | -2x+8x-7=6(x-4)-3 | | 0=3x^2-x-120 | | -6v+3v-9=-3 | | 4z+6=2z+6 | | -9=7(7v+8)+4(5v+1) | | 3(a-1)-5=34 | | 0.25(8z-4)=1z+8-2z | | 8-9+4b-5f= | | 4[5x-(2x-7)]=2(4x-5) | | 4k-13=11 | | 54=2x-9+4x | | 3(x+4)=2+3x | | 7-3r=r-8-4r |

Equations solver categories