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

Simple and best practice solution for 0=(3x-5)(x+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 0=(3x-5)(x+2) equation: 


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

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

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

Multiply (-5 + 3x) * (2 + x)
0 = (-5(2 + x) + 3x * (2 + x))
0 = ((2 * -5 + x * -5) + 3x * (2 + x))
0 = ((-10 + -5x) + 3x * (2 + x))
0 = (-10 + -5x + (2 * 3x + x * 3x))
0 = (-10 + -5x + (6x + 3x2))

Combine like terms: -5x + 6x = 1x
0 = (-10 + 1x + 3x2)

Solving
0 = -10 + 1x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + 10 = 10
10 + -1x + -3x2 = -10 + 1x + 3x2 + 10 + -1x + -3x2

Reorder the terms:
10 + -1x + -3x2 = -10 + 10 + 1x + -1x + 3x2 + -3x2

Combine like terms: -10 + 10 = 0
10 + -1x + -3x2 = 0 + 1x + -1x + 3x2 + -3x2
10 + -1x + -3x2 = 1x + -1x + 3x2 + -3x2

Combine like terms: 1x + -1x = 0
10 + -1x + -3x2 = 0 + 3x2 + -3x2
10 + -1x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
10 + -1x + -3x2 = 0

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


Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 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 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

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

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {1.666666667, -2}

See similar equations:

| 4(n+5)-5=87 | | 1=4xh | | 3a^3+30a^2+63a=0 | | 3x-4=-6x-4 | | 87.5x=35 | | 25x^2+25x+6.25=12.25 | | x/100=30/45 | | 4x-x-2=19 | | X/100=90/100 | | -1/5u=10 | | 3x+2x+5x=70 | | (2)(3.14)(2.5)= | | 8(5x-6)+8=-40-4x | | X/100=9/90 | | 2b+4=3b+5 | | (3x-13)= | | X/100=.9/45 | | 143=2x+5y | | -1/6u=10 | | x+12=123 | | X=-23+4y | | (y-7)(y-7)=1 | | 6x-2x+8=x-3+11 | | a^2-4ab-45b^2=0 | | 5z-6=26 | | X/100=24/40 | | -3(6p-2)=4(2p+3)+4 | | -x^3-7x-2=x^2+3x-3 | | 10b-6-4b=3b+10-6b | | 3m+2m+24=5m | | -16=4x/5 | | a^2-12a+22=2 |

Equations solver categories