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

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


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

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

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

Multiply (3 + x) * (-9 + 6x)
(3(-9 + 6x) + x(-9 + 6x)) = 0
((-9 * 3 + 6x * 3) + x(-9 + 6x)) = 0
((-27 + 18x) + x(-9 + 6x)) = 0
(-27 + 18x + (-9 * x + 6x * x)) = 0
(-27 + 18x + (-9x + 6x2)) = 0

Combine like terms: 18x + -9x = 9x
(-27 + 9x + 6x2) = 0

Solving
-27 + 9x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-9 + 3x + 2x2) = 0

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

Ignore the factor 3.

Subproblem 1

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

Subproblem 2

Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Solution

x = {-3, 1.5}

See similar equations:

| 2(4z+2)-7=61 | | 3n^3+3n=0 | | -4(r+5)=79 | | -4+9=13x-12x | | 2x+23-x=8+5x-5 | | 3(2x+3)=4(3x+8)-5 | | p=-15+4qs | | p=75-2qd | | x^2+40x-11=0 | | X+70=20 | | 3t^2-4t-15= | | (4v-1)(5-v)=0 | | 5a+7=49 | | -5(3x+4)=4x-20 | | -9n+2=-8n-10 | | a+4b=3 | | 3n-16=5(8-n) | | (-I)(3-2i)= | | 6x-7=-6(5x-1/3) | | f(x)=20+7cosx | | 12x^4-18x=0 | | 20-16i=4x+4yi | | Xz=17+4(x+y) | | (3/2)*R^2-2R=2 | | z=17+4(x+y)Aliveforx | | 8(x+5)+5=-3 | | (5x+4)=(6x+7) | | (5-4i)(5-4i)= | | 8(x+5)+5= | | ((y-7)/y)=9 | | (-I)(6-2i)= | | 4x^2+80x=276 |

Equations solver categories