4x(x+5)(x-12)=0

Simple and best practice solution for 4x(x+5)(x-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 4x(x+5)(x-12)=0 equation: 


Simplifying
4x(x + 5)(x + -12) = 0

Reorder the terms:
4x(5 + x)(x + -12) = 0

Reorder the terms:
4x(5 + x)(-12 + x) = 0

Multiply (5 + x) * (-12 + x)
4x(5(-12 + x) + x(-12 + x)) = 0
4x((-12 * 5 + x * 5) + x(-12 + x)) = 0
4x((-60 + 5x) + x(-12 + x)) = 0
4x(-60 + 5x + (-12 * x + x * x)) = 0
4x(-60 + 5x + (-12x + x2)) = 0

Combine like terms: 5x + -12x = -7x
4x(-60 + -7x + x2) = 0
(-60 * 4x + -7x * 4x + x2 * 4x) = 0
(-240x + -28x2 + 4x3) = 0

Solving
-240x + -28x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-60 + -7x + x2) = 0

Factor a trinomial.
4x((-5 + -1x)(12 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Subproblem 3
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {0, -5, 12}

See similar equations:

| 16x+7+17x-1=180 | | 2rs-6r+4rs+12r-4s= | | (4+6)4=(3+2x^2)3 | | 10x+5=12x-13 | | 5a^3-8a^2+2a^3= | | 11(7)+8+14(7)=90 | | 9x(x+4y+5z)= | | 11(7)+8+14(7)=180 | | 3(6-2x)=-8 | | -6(2b+1)+(13b-1)=0 | | 2ax+3x=8 | | 1ax+3x=4 | | 7g^3=56 | | 2ax-3x=8 | | 4c^3=32 | | 12x+6+11x+13=180 | | 2xy^2-26xy=0 | | 3(b-4)=5-2 | | 879=629+25x | | -4d=8 | | x^3-6x^2+6x=36 | | 4f=6+23 | | -2y=2y-8 | | xy^2-5xy=0 | | 12(3+y)=5(-2y+8) | | 1x=-8 | | 9x+11x=127 | | 8(d+7)-6d= | | 2[2+(y-1)]=22 | | 7-3x+4+8x=9x-4x+x-3 | | (28b-2)-9(3b+2)=-2 | | 18x^2-14x=0 |

Equations solver categories