(3x-6)(-5x-9)=0

Simple and best practice solution for (3x-6)(-5x-9)=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-6)(-5x-9)=0 equation: 


Simplifying
(3x + -6)(-5x + -9) = 0

Reorder the terms:
(-6 + 3x)(-5x + -9) = 0

Reorder the terms:
(-6 + 3x)(-9 + -5x) = 0

Multiply (-6 + 3x) * (-9 + -5x)
(-6(-9 + -5x) + 3x * (-9 + -5x)) = 0
((-9 * -6 + -5x * -6) + 3x * (-9 + -5x)) = 0
((54 + 30x) + 3x * (-9 + -5x)) = 0
(54 + 30x + (-9 * 3x + -5x * 3x)) = 0
(54 + 30x + (-27x + -15x2)) = 0

Combine like terms: 30x + -27x = 3x
(54 + 3x + -15x2) = 0

Solving
54 + 3x + -15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(18 + x + -5x2) = 0

Factor a trinomial.
3((2 + -1x)(9 + 5x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(9 + 5x)' equal to zero and attempt to solve:

Simplifying
9 + 5x = 0

Solving
9 + 5x = 0

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

Add '-9' to each side of the equation.
9 + -9 + 5x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = 0 + -9
5x = 0 + -9

Combine like terms: 0 + -9 = -9
5x = -9

Divide each side by '5'.
x = -1.8

Simplifying
x = -1.8
Solution
x = {2, -1.8}

See similar equations:

| 12f+8=8(6-f) | | 10w^3-15w^2=0 | | 10u+-19u-u+3u-(-10u)=-9 | | 4m=2(4m+10) | | t=4c-2d | | 11x-3x-14x+-15=9 | | 25x+4.3x-5=3.3x-3.25 | | -3(-2x+10)-8x=-40 | | 4s+2s-4s+s=6 | | 14u=-14 | | 3(u+6)=-4(2u-9)+3u | | 3x=20-1 | | -8d+-8=2(3-2d) | | equals=x | | x^2+12+8x=0 | | 9(x+4)+3=9x+8 | | 5x-56=5x+17 | | 39.99+0.45x=62.49 | | 10-2w=4 | | 5c-6=31 | | 6^10/6^7 | | (7/8)x-(11/8)=(-8/7)x-1 | | 560=40w | | 15(a-8)=-6-9 | | 2k-3=N | | 5-7p-7-12=-2-3p | | 5x-y+3z=27.5 | | 7v-20=v-6 | | (x^2+4x-5)(2x^3-3x)=0 | | u/10=3 | | 5x-y+3z=27 | | 3y^2-21x=0 |

Equations solver categories