-6x(x-2)+4(3-6x)=-36

Simple and best practice solution for -6x(x-2)+4(3-6x)=-36 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 -6x(x-2)+4(3-6x)=-36 equation: 


Simplifying
-6x(x + -2) + 4(3 + -6x) = -36

Reorder the terms:
-6x(-2 + x) + 4(3 + -6x) = -36
(-2 * -6x + x * -6x) + 4(3 + -6x) = -36
(12x + -6x2) + 4(3 + -6x) = -36
12x + -6x2 + (3 * 4 + -6x * 4) = -36
12x + -6x2 + (12 + -24x) = -36

Reorder the terms:
12 + 12x + -24x + -6x2 = -36

Combine like terms: 12x + -24x = -12x
12 + -12x + -6x2 = -36

Solving
12 + -12x + -6x2 = -36

Solving for variable 'x'.

Reorder the terms:
12 + 36 + -12x + -6x2 = -36 + 36

Combine like terms: 12 + 36 = 48
48 + -12x + -6x2 = -36 + 36

Combine like terms: -36 + 36 = 0
48 + -12x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(8 + -2x + -1x2) = 0

Factor a trinomial.
6((2 + -1x)(4 + x)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

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

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

Simplifying
x = -4
Solution
x = {2, -4}

See similar equations:

| 41c-5=11 | | 4x-6=x-2 | | 8bx^2-13ax=0 | | ln(6x+7)=5 | | 41-5=11 | | 174=75+55+ | | 2y=52 | | 5(a-7)+15=3(a-6) | | 6+5lnx=5 | | x+6y+2=0 | | -x^2+15x+63= | | 29=24-5x | | 9(x-1)=9x+2 | | 6x^2+1+5x=0 | | 9x-5=7x+31 | | 12x+10=5x | | Y*29-5y=42 | | p^2+20=12p | | 9(x-1)=3x+4 | | -9x-5=7x+31 | | 12+9p=66 | | -48x+16=-48 | | -2x+4-10x+3=-19 | | 22x^2-7x-2= | | 0=2g^2-14g+24 | | 10x-6x=5x^2 | | 2=2y-8 | | 10x-2=2x^2 | | 4x+-5=27 | | 9x+1=3(3x+1) | | 20x+14=17x | | i^20-22i= |

Equations solver categories