12x^2+5x-4=8x

Simple and best practice solution for 12x^2+5x-4=8x 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 12x^2+5x-4=8x equation:


Simplifying
12x2 + 5x + -4 = 8x

Reorder the terms:
-4 + 5x + 12x2 = 8x

Solving
-4 + 5x + 12x2 = 8x

Solving for variable 'x'.

Reorder the terms:
-4 + 5x + -8x + 12x2 = 8x + -8x

Combine like terms: 5x + -8x = -3x
-4 + -3x + 12x2 = 8x + -8x

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

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

Divide each side by '12'.
-0.3333333333 + -0.25x + x2 = 0

Move the constant term to the right:

Add '0.3333333333' to each side of the equation.
-0.3333333333 + -0.25x + 0.3333333333 + x2 = 0 + 0.3333333333

Reorder the terms:
-0.3333333333 + 0.3333333333 + -0.25x + x2 = 0 + 0.3333333333

Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000
0.0000000000 + -0.25x + x2 = 0 + 0.3333333333
-0.25x + x2 = 0 + 0.3333333333

Combine like terms: 0 + 0.3333333333 = 0.3333333333
-0.25x + x2 = 0.3333333333

The x term is -0.25x.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25x + 0.015625 + x2 = 0.3333333333 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = 0.3333333333 + 0.015625

Combine like terms: 0.3333333333 + 0.015625 = 0.3489583333
0.015625 + -0.25x + x2 = 0.3489583333

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = 0.3489583333

Calculate the square root of the right side: 0.590726953

Break this problem into two subproblems by setting 
(x + -0.125) equal to 0.590726953 and -0.590726953.

Subproblem 1

x + -0.125 = 0.590726953 Simplifying x + -0.125 = 0.590726953 Reorder the terms: -0.125 + x = 0.590726953 Solving -0.125 + x = 0.590726953 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.125' to each side of the equation. -0.125 + 0.125 + x = 0.590726953 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.000 + x = 0.590726953 + 0.125 x = 0.590726953 + 0.125 Combine like terms: 0.590726953 + 0.125 = 0.715726953 x = 0.715726953 Simplifying x = 0.715726953

Subproblem 2

x + -0.125 = -0.590726953 Simplifying x + -0.125 = -0.590726953 Reorder the terms: -0.125 + x = -0.590726953 Solving -0.125 + x = -0.590726953 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.125' to each side of the equation. -0.125 + 0.125 + x = -0.590726953 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.000 + x = -0.590726953 + 0.125 x = -0.590726953 + 0.125 Combine like terms: -0.590726953 + 0.125 = -0.465726953 x = -0.465726953 Simplifying x = -0.465726953

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.715726953, -0.465726953}

See similar equations:

| 2a+(5a-13)=4 | | 16m^2+8m+1=0 | | 5v+1=6-5(4v-4) | | 5v+1=4v-4 | | 12T+4=-100 | | 4b^2+b=0 | | 32-5=-8 | | -15050+2000x-48x^2=0 | | 10x^2+4x-5=0 | | 10x^2+4x+5=0 | | k*400=30 | | 10x^2+2x+5=o | | 2x-2y+z=15 | | 100+100+62+x+5=360 | | 1+5=2 | | 90+84+93+x=360 | | 86+99+85+x=360 | | x(10+2)=2(x+9) | | 86+99+85=360 | | x+y-z=-2 | | 0.33x+0.25x=3.5 | | 4x-y-z=15 | | 10.50=1.50*4-15 | | 4=1.50x-15 | | 4E-3E-2E=8 | | 2x+5=67 | | 2x+5=53 | | 2x+10=51 | | 14=21(8x+12) | | 3x-2=78-x | | 13x^2-22=5x^2+2 | | y=-x^2+5x+36 |

Equations solver categories