5(x-8)(3x-10)=0

Simple and best practice solution for 5(x-8)(3x-10)=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 5(x-8)(3x-10)=0 equation: 


Simplifying
5(x + -8)(3x + -10) = 0

Reorder the terms:
5(-8 + x)(3x + -10) = 0

Reorder the terms:
5(-8 + x)(-10 + 3x) = 0

Multiply (-8 + x) * (-10 + 3x)
5(-8(-10 + 3x) + x(-10 + 3x)) = 0
5((-10 * -8 + 3x * -8) + x(-10 + 3x)) = 0
5((80 + -24x) + x(-10 + 3x)) = 0
5(80 + -24x + (-10 * x + 3x * x)) = 0
5(80 + -24x + (-10x + 3x2)) = 0

Combine like terms: -24x + -10x = -34x
5(80 + -34x + 3x2) = 0
(80 * 5 + -34x * 5 + 3x2 * 5) = 0
(400 + -170x + 15x2) = 0

Solving
400 + -170x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(80 + -34x + 3x2) = 0

Factor a trinomial.
5((10 + -3x)(8 + -1x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(10 + -3x)' equal to zero and attempt to solve:

Simplifying
10 + -3x = 0

Solving
10 + -3x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 0 + -10
-3x = 0 + -10

Combine like terms: 0 + -10 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333

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 = {3.333333333, 8}

See similar equations:

| ((2x^4y^-3)^-2(2x^-1y^-2)^4)^3/2x^-7y^-3 | | x-9=2x-19 | | 3x+20=6x-13 | | 4/5+1/6= | | 0.23y-1.5=0.13y+3-0.8 | | lny=(lnx)/2 | | 4t-21+t^2= | | 6y-7=-19+3y | | 7x+8=5x+30 | | 5p^2-2=-4p | | 8y-4x=40 | | r^3+54r=15r^2 | | 37=3.14*D | | X^6=45 | | 3x+53=5x+15 | | g=2x+y | | (9-4i)(3-4i)= | | 4w-2/3x=4/3(x-23) | | x²-x/4=25 | | -x+6=-4x+15 | | 7log(x)= | | (X+5)(3x-3)=0 | | 3x^2-11x+22=0 | | z^2+4z+2=0 | | 7x+6-6x=45-7x | | X-5+7i=4(2+2i) | | x+4=2.321x | | 4x^3-6x^2+10x-15= | | 15x^2+30x+15= | | -0.05x^2-1.5x=y | | 1.5/7 | | X+3i(4-I)=7-5i |

Equations solver categories