(2x-10)(3x+12)=0

Simple and best practice solution for (2x-10)(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-10)(3x+12)=0 equation: 


Simplifying
(2x + -10)(3x + 12) = 0

Reorder the terms:
(-10 + 2x)(3x + 12) = 0

Reorder the terms:
(-10 + 2x)(12 + 3x) = 0

Multiply (-10 + 2x) * (12 + 3x)
(-10(12 + 3x) + 2x * (12 + 3x)) = 0
((12 * -10 + 3x * -10) + 2x * (12 + 3x)) = 0
((-120 + -30x) + 2x * (12 + 3x)) = 0
(-120 + -30x + (12 * 2x + 3x * 2x)) = 0
(-120 + -30x + (24x + 6x2)) = 0

Combine like terms: -30x + 24x = -6x
(-120 + -6x + 6x2) = 0

Solving
-120 + -6x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-20 + -1x + x2) = 0

Factor a trinomial.
6((-4 + -1x)(5 + -1x)) = 0

Ignore the factor 6.

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 '(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
Solution
x = {-4, 5}

See similar equations:

| (p+2)(p-4)= | | -4y+2y=-8 | | Y=2(1.06)X | | 3t^2+7t=-7 | | 10=2b-6 | | Y=0.25(1.4)X | | -5n^2+9=10 | | 0=16t^2+131+72 | | 2x-8z=48 | | (10d-27)=(6d+9) | | x+5*2(6-4x)=-12 | | 2a^2+11a-63=0 | | (Z+1)(z-1)= | | 8x+14y=125 | | 2x-8x=48 | | -8=x-32 | | 10x+10x-6+18y+4+16y+6=360 | | V+3(2+7v)=-148 | | Cos^2x+5sinx=5 | | -(7r-1)=-205 | | y2/5x | | x-(17)=43 | | (15x-2y)-(6x-b)= | | 12a^5+8a= | | 7x+1+6x-10+2y+100+2y+74=360 | | 32x^2+16x-51=0 | | -4+x=17.1 | | 96x^2-48x-153=0 | | 4(3x-5y)+3(x-y)= | | (x+1)(x-s)=0 | | 15=-log(0.5)-log(x) | | 15n^3+25n= |

Equations solver categories