(3x-9)(2x+10)=0

Simple and best practice solution for (3x-9)(2x+10)=0 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-9)(2x+10)=0 equation: 


Simplifying
(3x + -9)(2x + 10) = 0

Reorder the terms:
(-9 + 3x)(2x + 10) = 0

Reorder the terms:
(-9 + 3x)(10 + 2x) = 0

Multiply (-9 + 3x) * (10 + 2x)
(-9(10 + 2x) + 3x * (10 + 2x)) = 0
((10 * -9 + 2x * -9) + 3x * (10 + 2x)) = 0
((-90 + -18x) + 3x * (10 + 2x)) = 0
(-90 + -18x + (10 * 3x + 2x * 3x)) = 0
(-90 + -18x + (30x + 6x2)) = 0

Combine like terms: -18x + 30x = 12x
(-90 + 12x + 6x2) = 0

Solving
-90 + 12x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-15 + 2x + x2) = 0

Factor a trinomial.
6((-5 + -1x)(3 + -1x)) = 0

Ignore the factor 6.

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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-5, 3}

See similar equations:

| 8*2*5= | | 9r=234 | | n+3=14-6n | | 9x^2+19x-10=-6x^2 | | 3.56=5.6-y | | -6(-5x+10)=-270 | | 20+n=m | | x=0findy | | -3n=-11t | | -7p+7+8p=14 | | 0.8x^2-24x+250= | | 14=y+12 | | 15x^2-38x-32=0 | | x^(1/4)-y^(8/4) | | 5-2-(3n+8)=2n-10 | | 0.8x^2-24x+250x=25 | | -9=-7+t | | Y^2-28x=0 | | (3x+40)= | | -4+6=y-1 | | 5(10-2x)=-30 | | 9-8x=6x-2x-63 | | 2ln(x+2)+ln(x+3)-2ln(y^2+4)=0 | | -2(3-5y)=6y+6 | | 2(4w-5)+3(4w-5)= | | C-2=-4+4 | | 3n^2+5n=7 | | (2g^4-3g+9)+(-g^3+12g)=2g^4-g^3+9g+9 | | 3a+2=22 | | 8/12=x/21 | | 4k-6=-2k-16-2k | | -3+8-5=-2a+3a |

Equations solver categories