3(x+12)=-3x(x-6)

Simple and best practice solution for 3(x+12)=-3x(x-6) 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 3(x+12)=-3x(x-6) equation:


Simplifying
3(x + 12) = -3x(x + -6)

Reorder the terms:
3(12 + x) = -3x(x + -6)
(12 * 3 + x * 3) = -3x(x + -6)
(36 + 3x) = -3x(x + -6)

Reorder the terms:
36 + 3x = -3x(-6 + x)
36 + 3x = (-6 * -3x + x * -3x)
36 + 3x = (18x + -3x2)

Solving
36 + 3x = 18x + -3x2

Solving for variable 'x'.

Combine like terms: 3x + -18x = -15x
36 + -15x + 3x2 = 18x + -3x2 + -18x + 3x2

Reorder the terms:
36 + -15x + 3x2 = 18x + -18x + -3x2 + 3x2

Combine like terms: 18x + -18x = 0
36 + -15x + 3x2 = 0 + -3x2 + 3x2
36 + -15x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
36 + -15x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(12 + -5x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(12 + -5x + x2)' equal to zero and attempt to solve:

Simplifying
12 + -5x + x2 = 0

Solving
12 + -5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -5x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + -5x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -5x + x2 = 0 + -12
-5x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
-5x + x2 = -12

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -12 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -12 + 6.25

Combine like terms: -12 + 6.25 = -5.75
6.25 + -5x + x2 = -5.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -5.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| c^2+15c+54= | | y^3+1-6y=0 | | 2x^2-3x+12=0 | | 7x-56=10x-63 | | 5(x+4)+44=-3x | | y^3+x^3-6xy=0 | | y^2-14y-35=0 | | x^3+x^3-6xy=0 | | 8x-5=4x+8x+10 | | 5x=-3(1x+4)+28 | | 14t-8=16 | | (2x^2y-2x^3)*dy+(4x^3-6x^2y+2xy^2)dx=0 | | -7y^2+6y-35=0 | | 5x-48+7x=12 | | 2w+2=7w | | 2.2x-5=2*1.4x+6 | | x^2+18x+74=0 | | 7x-4x+3=-12 | | 25r=375 | | a-1/2=2a-.6 | | -5+6x+3=34 | | 3(3y+1)=6 | | 12x^2-23x-24=0 | | 3X^2+13x-28=2x^2+2 | | 2(2y-3)=5(y-1) | | 7X+26=30 | | 1.5x=-0.5 | | 8k^2+13k-6=0 | | 30x=1.5 | | 26x+5=23x+22 | | Y=-2x^2-12x-38 | | 4x^3-6x^2-24x+24=0 |

Equations solver categories