(3x-10)(3x+2)=

Simple and best practice solution for (3x-10)(3x+2)= 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-10)(3x+2)= equation:


Simplifying
(3x + -10)(3x + 2) = 0

Reorder the terms:
(-10 + 3x)(3x + 2) = 0

Reorder the terms:
(-10 + 3x)(2 + 3x) = 0

Multiply (-10 + 3x) * (2 + 3x)
(-10(2 + 3x) + 3x * (2 + 3x)) = 0
((2 * -10 + 3x * -10) + 3x * (2 + 3x)) = 0
((-20 + -30x) + 3x * (2 + 3x)) = 0
(-20 + -30x + (2 * 3x + 3x * 3x)) = 0
(-20 + -30x + (6x + 9x2)) = 0

Combine like terms: -30x + 6x = -24x
(-20 + -24x + 9x2) = 0

Solving
-20 + -24x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -3x)(10 + -3x) = 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 '(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
Solution
x = {-0.6666666667, 3.333333333}

See similar equations:

| 5(x+3/4)=10 | | 3x/7+2=17 | | -6x+2x^2=0 | | 4.5x+2=11.25 | | k/2-1=-8 | | -3/5-3/5=-3/5x+4/5z | | (x)-7=6 | | X+5/7=8/2 | | x/0-4=-5 | | .3y-18=2 | | 4x^2-2x=5 | | b/3+2=18 | | x/7-5=9 | | 2x^2-9=-209 | | 6n+24=40n+24+4 | | (10x-9)(7x+3)= | | 50x^2+38x+27=0 | | -7y-9=2y+9 | | 3/2x-4=16 | | 2a-20.4=a+1.6 | | 10-3a-6=8+a | | -5t+6=26 | | 6y+2=4y+9 | | 12y-6-4y=14 | | 24=-3 | | 5(x+2)+5=2(x+5) | | 3x-21=7x+1 | | 2p+1=7 | | 10x^16=7x+5 | | 3+18=-12x+21 | | 35-4y=43 | | (10x-9)(7x-3)= |

Equations solver categories