4x^2-3x-12x+8=0

Simple and best practice solution for 4x^2-3x-12x+8=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^2-3x-12x+8=0 equation: 


Simplifying
4x2 + -3x + -12x + 8 = 0

Reorder the terms:
8 + -3x + -12x + 4x2 = 0

Combine like terms: -3x + -12x = -15x
8 + -15x + 4x2 = 0

Solving
8 + -15x + 4x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
2 + -3.75x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -3.75x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -3.75x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3.75x + x2 = 0 + -2
-3.75x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-3.75x + x2 = -2

The x term is -3.75x.  Take half its coefficient (-1.875).
Square it (3.515625) and add it to both sides.

Add '3.515625' to each side of the equation.
-3.75x + 3.515625 + x2 = -2 + 3.515625

Reorder the terms:
3.515625 + -3.75x + x2 = -2 + 3.515625

Combine like terms: -2 + 3.515625 = 1.515625
3.515625 + -3.75x + x2 = 1.515625

Factor a perfect square on the left side:
(x + -1.875)(x + -1.875) = 1.515625

Calculate the square root of the right side: 1.231107225

Break this problem into two subproblems by setting 
(x + -1.875) equal to 1.231107225 and -1.231107225.


Subproblem 1
x + -1.875 = 1.231107225

Simplifying
x + -1.875 = 1.231107225

Reorder the terms:
-1.875 + x = 1.231107225

Solving
-1.875 + x = 1.231107225

Solving for variable 'x'.

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

Add '1.875' to each side of the equation.
-1.875 + 1.875 + x = 1.231107225 + 1.875

Combine like terms: -1.875 + 1.875 = 0.000
0.000 + x = 1.231107225 + 1.875
x = 1.231107225 + 1.875

Combine like terms: 1.231107225 + 1.875 = 3.106107225
x = 3.106107225

Simplifying
x = 3.106107225


Subproblem 2
x + -1.875 = -1.231107225

Simplifying
x + -1.875 = -1.231107225

Reorder the terms:
-1.875 + x = -1.231107225

Solving
-1.875 + x = -1.231107225

Solving for variable 'x'.

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

Add '1.875' to each side of the equation.
-1.875 + 1.875 + x = -1.231107225 + 1.875

Combine like terms: -1.875 + 1.875 = 0.000
0.000 + x = -1.231107225 + 1.875
x = -1.231107225 + 1.875

Combine like terms: -1.231107225 + 1.875 = 0.643892775
x = 0.643892775

Simplifying
x = 0.643892775


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.106107225, 0.643892775}

See similar equations:

| (3z-2)(7-z)=0 | | 5x-6+3x+90=x | | what+the+fuck=youre+gay | | 4(3-2x)=-28 | | -4s^3-24s^2-80=0 | | 234k=123c | | 1+1-1=2x^5*(0.123e) | | 123+123+567=123 | | (2x-3)(5x+1)=0 | | -31-7x=-3+21 | | abc=123+dec | | n-56=7 | | -3+5=12 | | 7.5d+7=53 | | x+(-12)=72 | | -10x^2-13x+30=0 | | -8x-70=7x | | x+2y+9=0 | | -54=6(9-6x) | | 9u^2-4w^2= | | 48x+16-56=-2(8x-64) | | -5t(t+4)=0 | | y-10=c | | (x^3)+(3x^2)-144x=0 | | (x^3)(3x^2)-144x=0 | | 101+n=164 | | 0.20M-2=3 | | -1.75=8.5a+1.5a-2.25 | | Y=.5(-2)+1 | | 8.4=s-0.2 | | Y=.5(-6)+1 | | -200t^2+3600t-6400=8500 |

Equations solver categories