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

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

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

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

Combine like terms: 2x + -15x = -13x
0 = (-10 + -13x + 3x2)

Solving
0 = -10 + -13x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + 10 = 10
10 + 13x + -3x2 = -10 + -13x + 3x2 + 10 + 13x + -3x2

Reorder the terms:
10 + 13x + -3x2 = -10 + 10 + -13x + 13x + 3x2 + -3x2

Combine like terms: -10 + 10 = 0
10 + 13x + -3x2 = 0 + -13x + 13x + 3x2 + -3x2
10 + 13x + -3x2 = -13x + 13x + 3x2 + -3x2

Combine like terms: -13x + 13x = 0
10 + 13x + -3x2 = 0 + 3x2 + -3x2
10 + 13x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 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:

| 3u+3=-3 | | 5(x+4)-2(2x+2)=19 | | -(x-7)+5=-5x+2 | | 7(x+4)=8x+6 | | -7=4w-3 | | 3x-40-x=0 | | 12+8+x=2+8+y | | (5/6)x-(1/3)=2x-5 | | 9+2+x=9+12+y | | 75=10/z | | x+30-x^2=0 | | 4xy=14 | | x^3+1193190191=0 | | x^3+103=0 | | logc=-5.48 | | 8x-24=2x+6 | | -12/3=1/2x | | -2(2-5)=-3x+7-x+3 | | -33/4=1/3x | | 2p+1.50*.15=11.50 | | 12m+6=-4m+2 | | 6x^3-17x^2+6x+8=(x-2) | | 4+5u=-1 | | 7x+15=6x+3 | | 15=3+4u | | 5x/3-3x/2-x=5 | | 5x+8x*10=323 | | X=(16)x(-4) | | -6(-5x+9)=156 | | 1/2/8x | | M=(-18) | | -8(-6x+4)=416 |

Equations solver categories