4x^2-4x-119=0

Simple and best practice solution for 4x^2-4x-119=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^2-4x-119=0 equation:


Simplifying
4x2 + -4x + -119 = 0

Reorder the terms:
-119 + -4x + 4x2 = 0

Solving
-119 + -4x + 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'.
-29.75 + -1x + x2 = 0

Move the constant term to the right:

Add '29.75' to each side of the equation.
-29.75 + -1x + 29.75 + x2 = 0 + 29.75

Reorder the terms:
-29.75 + 29.75 + -1x + x2 = 0 + 29.75

Combine like terms: -29.75 + 29.75 = 0.00
0.00 + -1x + x2 = 0 + 29.75
-1x + x2 = 0 + 29.75

Combine like terms: 0 + 29.75 = 29.75
-1x + x2 = 29.75

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = 29.75 + 0.25

Reorder the terms:
0.25 + -1x + x2 = 29.75 + 0.25

Combine like terms: 29.75 + 0.25 = 30
0.25 + -1x + x2 = 30

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = 30

Calculate the square root of the right side: 5.477225575

Break this problem into two subproblems by setting 
(x + -0.5) equal to 5.477225575 and -5.477225575.

Subproblem 1

x + -0.5 = 5.477225575 Simplifying x + -0.5 = 5.477225575 Reorder the terms: -0.5 + x = 5.477225575 Solving -0.5 + x = 5.477225575 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = 5.477225575 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = 5.477225575 + 0.5 x = 5.477225575 + 0.5 Combine like terms: 5.477225575 + 0.5 = 5.977225575 x = 5.977225575 Simplifying x = 5.977225575

Subproblem 2

x + -0.5 = -5.477225575 Simplifying x + -0.5 = -5.477225575 Reorder the terms: -0.5 + x = -5.477225575 Solving -0.5 + x = -5.477225575 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = -5.477225575 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = -5.477225575 + 0.5 x = -5.477225575 + 0.5 Combine like terms: -5.477225575 + 0.5 = -4.977225575 x = -4.977225575 Simplifying x = -4.977225575

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.977225575, -4.977225575}

See similar equations:

| w-500=30(t) | | 2x-x-9=13 | | 5.5x-14=13.1 | | w=30(t)+500 | | 16p^2-48p-64=0 | | -4x-22+x=50 | | X+2x+21+x+41=48 | | -16x-12=-60 | | 1/2(6x-16) | | -16-12=60 | | 4p^2+12p+8=0 | | (-5x-1)(25x^2+5x+1)= | | -8n+12e=-20 | | 4n+eh= | | (-5x-1)(25x^2-5x+1)= | | ln(2x+4)=x^2 | | 5x+2x-43=41 | | -4y-9n=15 | | 12=37/t | | (5x+1)(5x+1)(5x+1)= | | 2x+2x-15=180 | | 4a+8=52 | | 9a+4-6a+7b=5 | | Y=-x+4x+5 | | 3(1+3r)=7(-5+r)+8 | | 4=-23w | | 7+5x=5x+8 | | H(t)=-4.9t^2+70 | | 4x-14=2x-7 | | 37-r=23 | | T=3c+-2d | | 2(2a-6)=2(a+3) |

Equations solver categories