(2x-9)(3x-12)=0

Simple and best practice solution for (2x-9)(3x-12)=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 (2x-9)(3x-12)=0 equation: 


Simplifying
(2x + -9)(3x + -12) = 0

Reorder the terms:
(-9 + 2x)(3x + -12) = 0

Reorder the terms:
(-9 + 2x)(-12 + 3x) = 0

Multiply (-9 + 2x) * (-12 + 3x)
(-9(-12 + 3x) + 2x * (-12 + 3x)) = 0
((-12 * -9 + 3x * -9) + 2x * (-12 + 3x)) = 0
((108 + -27x) + 2x * (-12 + 3x)) = 0
(108 + -27x + (-12 * 2x + 3x * 2x)) = 0
(108 + -27x + (-24x + 6x2)) = 0

Combine like terms: -27x + -24x = -51x
(108 + -51x + 6x2) = 0

Solving
108 + -51x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(36 + -17x + 2x2) = 0

Factor a trinomial.
3((4 + -1x)(9 + -2x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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

Simplifying
9 + -2x = 0

Solving
9 + -2x = 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 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5
Solution
x = {4, 4.5}

See similar equations:

| (2/3)/(-7/8) | | 5(4u+2)= | | -4x-37=7x+18 | | 3x^2-200x+17400=0 | | 3x^2-200x+174=0 | | .03x^2-2x+174=0 | | 7(1+2j)= | | 5(1+7r)= | | 8a-(3a+6)=19 | | y^4+2y^3-8=0 | | 9(1+10x)= | | (7a-6)(2a-5)= | | 4(2l+1)=12 | | (5x-6)*3= | | 20=4/7x | | (u-9)*9=90 | | 5(1+5h)= | | (x^2+2x)(x^2+2x+2)=1 | | (q-3)*6=42 | | 3(2+10g)= | | 10=2/7y | | 60x-2=360 | | 3a+5b+a-6b= | | 4x+-3x+20=-22 | | 14+125x= | | 2(5+2v)= | | 4x+-3x+20=22 | | 7x+5(1-5x)=59 | | 2/5v=20 | | 6h=5f-9 | | 7ln(x)-4=7 | | 2w/5=12 |

Equations solver categories