3X(X+5)=2X+10

Simple and best practice solution for 3X(X+5)=2X+10 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(X+5)=2X+10 equation: 


Simplifying
3X(X + 5) = 2X + 10

Reorder the terms:
3X(5 + X) = 2X + 10
(5 * 3X + X * 3X) = 2X + 10
(15X + 3X2) = 2X + 10

Reorder the terms:
15X + 3X2 = 10 + 2X

Solving
15X + 3X2 = 10 + 2X

Solving for variable 'X'.

Reorder the terms:
-10 + 15X + -2X + 3X2 = 10 + 2X + -10 + -2X

Combine like terms: 15X + -2X = 13X
-10 + 13X + 3X2 = 10 + 2X + -10 + -2X

Reorder the terms:
-10 + 13X + 3X2 = 10 + -10 + 2X + -2X

Combine like terms: 10 + -10 = 0
-10 + 13X + 3X2 = 0 + 2X + -2X
-10 + 13X + 3X2 = 2X + -2X

Combine like terms: 2X + -2X = 0
-10 + 13X + 3X2 = 0

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


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 '(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
Solution
X = {-5, 0.6666666667}

See similar equations:

| n/9=8/11 | | 6b-7-b=-3+5b-4 | | 2(x-3)=17-3x | | x-1=x-3 | | 4(7y-3)-48=-5y-30 | | 2g-4+3g=g+20 | | 7m-29=2m+31 | | 2x^2-4x-1=x^2+20 | | 3x-7+x=13 | | 2x^2-3x+10=15 | | 10xy-15xy= | | 2x^3-3x+10=15 | | 6p=-4 | | 2n-5=n+4 | | 144-16t^2=0 | | 3x+1=64 | | 5x=25x+5 | | 21/2n=11/5 | | xsquare+4=0 | | 9=6.4 | | 15b+3(2b-7)-9(4+5b)= | | x^3+3x^2+12x-28=0 | | -28xy+12x^2+15y^2=0 | | (3x/3)=((a-1)/3) | | 10000000000000000000000000000000000000000000000000000000000000=000000000000000000000000000000000000001 | | 2.6x-0.9=3 | | f-9=9 | | 2x+3x=16+x | | 14+68-8=18 | | 5x^2+16x+30=0 | | -5x+y=-40 | | x=.15(y-x) |

Equations solver categories