(2x)(3x-2)=170

Simple and best practice solution for (2x)(3x-2)=170 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 (2x)(3x-2)=170 equation: 


Simplifying
(2x)(3x + -2) = 170

Remove parenthesis around (2x)
2x(3x + -2) = 170

Reorder the terms:
2x(-2 + 3x) = 170
(-2 * 2x + 3x * 2x) = 170
(-4x + 6x2) = 170

Solving
-4x + 6x2 = 170

Solving for variable 'x'.

Reorder the terms:
-170 + -4x + 6x2 = 170 + -170

Combine like terms: 170 + -170 = 0
-170 + -4x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-85 + -2x + 3x2) = 0

Factor a trinomial.
2((-5 + -1x)(17 + -3x)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(17 + -3x)' equal to zero and attempt to solve:

Simplifying
17 + -3x = 0

Solving
17 + -3x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -3x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -3x = 0 + -17
-3x = 0 + -17

Combine like terms: 0 + -17 = -17
-3x = -17

Divide each side by '-3'.
x = 5.666666667

Simplifying
x = 5.666666667
Solution
x = {-5, 5.666666667}

See similar equations:

| 2(2x+6)+2(x)=108 | | 1/3log(5)25x=2 | | 7-4y=9-7y+3y | | 12.52•1// | | 37x^2+6x+333=80 | | 10(x+2)=234 | | y/0.7=-2.3 | | 10(x+2)=231 | | 4(2-x)=5x+3 | | 4x+5(x-3)=6 | | H(t)=-16t^2+60t+5 | | 8(y+8)+1(y-8)(y+8)=y(y-8) | | 4x-(8-6x)=12 | | -12(a-4)=3(6+a) | | 9-3ln(3-x)=0 | | -2(x-5)=24 | | (5t-1)=2(t+1)+4 | | 3.3x+38.6=7.2-12.4x | | 2ln(6b)-3=4 | | 2ln(2b)-3=4 | | (30/x)-2=4 | | 3x^2-134=13 | | 3+2(x-6)=10-3(x-1) | | log[7](343)=3x+2 | | 20e^3x=100 | | 1/3(2x-1)=3 | | y=(9x+7)(x-7) | | 15x-3(-3+4)=6 | | 5/x-2=8 | | 6(a+2)-b=315a-2(6-3)=23 | | 3xsquare-8x-180=0 | | 12n-12=90 |

Equations solver categories