(3x-2)(x-5)=

Simple and best practice solution for (3x-2)(x-5)= 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-2)(x-5)= equation:


Simplifying
(3x + -2)(x + -5) = 0

Reorder the terms:
(-2 + 3x)(x + -5) = 0

Reorder the terms:
(-2 + 3x)(-5 + x) = 0

Multiply (-2 + 3x) * (-5 + x)
(-2(-5 + x) + 3x * (-5 + x)) = 0
((-5 * -2 + x * -2) + 3x * (-5 + x)) = 0
((10 + -2x) + 3x * (-5 + x)) = 0
(10 + -2x + (-5 * 3x + x * 3x)) = 0
(10 + -2x + (-15x + 3x2)) = 0

Combine like terms: -2x + -15x = -17x
(10 + -17x + 3x2) = 0

Solving
10 + -17x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -3x)(5 + -1x) = 0

Subproblem 1

Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {0.6666666667, 5}

See similar equations:

| 3y+4-7=2y+1 | | 2x+156=4x+194 | | +2-11= | | x/8-6=-12 | | +9-(20)= | | 11/2a+17/5b-2/3a-9/10b-44 | | 3/10p=-12/5 | | 7=c/5+3 | | x+x+50+0.5x+50=600 | | 2w+10+3w-85=105 | | 9+19p-8=6p+18-4p | | 1330=5x+5y | | h+3h-h-65=205 | | 47x+1=48x-1 | | 4h+5h-50-25=105 | | -42-(8)= | | x/2-7=35 | | 10y-(4y+8)=20 | | 16m^6-9=0 | | 2x-1=3x+3-x-4 | | 2.5n-34=41 | | -d+12-3d=-5d-6 | | 45/50=9/x | | 3.2-23=x | | -4(x-4)+2=9-3(5x+8) | | 3(x+7)=19 | | 3x-2+x=5x+1-x | | (2x+1)/3=(5x-4)/11 | | 2a^2-3a-35=0 | | x^6-(2x^3)+1=0 | | 180=15x+30 | | 64x^2-128+64=25 |

Equations solver categories