2x^2-16x=12x-48

Simple and best practice solution for 2x^2-16x=12x-48 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^2-16x=12x-48 equation: 


Simplifying
2x2 + -16x = 12x + -48

Reorder the terms:
-16x + 2x2 = 12x + -48

Reorder the terms:
-16x + 2x2 = -48 + 12x

Solving
-16x + 2x2 = -48 + 12x

Solving for variable 'x'.

Reorder the terms:
48 + -16x + -12x + 2x2 = -48 + 12x + 48 + -12x

Combine like terms: -16x + -12x = -28x
48 + -28x + 2x2 = -48 + 12x + 48 + -12x

Reorder the terms:
48 + -28x + 2x2 = -48 + 48 + 12x + -12x

Combine like terms: -48 + 48 = 0
48 + -28x + 2x2 = 0 + 12x + -12x
48 + -28x + 2x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
48 + -28x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + -14x + x2) = 0

Factor a trinomial.
2((2 + -1x)(12 + -1x)) = 0

Ignore the factor 2.

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 '(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 = {2, 12}

See similar equations:

| 4(p-15)=8 | | -9x+42+4x=-6 | | 3t^2-4y+30=0 | | 6+4(2)-13= | | 3=f-1 | | raiz(5raiz(x))=raiz(2x-3) | | 0.6x^2-1.6x+1=0 | | 8x+-7=8x-7 | | -2.4x+1.3=10.7 | | -16n=-13-15n | | -19j-16=-18j-3 | | 6(x-6.3)=2.4 | | 7x^8-5x^7+5= | | -5=(1/9)(x-3) | | -15+13s=3+11s+18 | | 2(x+1)=-3(x+2)+10 | | -6x+4+5x=10 | | 120=4(9)(3)+2(3) | | 4.11+-15.217= | | 2x^3+9x^2-50x+48k=2 | | -9t=-10t-6 | | g(x)=4x^2-4x-3 | | 2(6+w)=22 | | 3+5x+7=79 | | 4c-2=22 | | 5-5u=-2u+2 | | 3x^2+xy+4y^2-9=0 | | y-24.2=4.7 | | 6-10h=4-7h-10 | | 75x^2-6x+12=0 | | 2/3(7/8-x/4)-3/8=5/8 | | 7(x+69)-y+(n+4)=-28 |

Equations solver categories