5x^2-4x-1368=0

Simple and best practice solution for 5x^2-4x-1368=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 5x^2-4x-1368=0 equation:


Simplifying
5x2 + -4x + -1368 = 0

Reorder the terms:
-1368 + -4x + 5x2 = 0

Solving
-1368 + -4x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
-273.6 + -0.8x + x2 = 0

Move the constant term to the right:

Add '273.6' to each side of the equation.
-273.6 + -0.8x + 273.6 + x2 = 0 + 273.6

Reorder the terms:
-273.6 + 273.6 + -0.8x + x2 = 0 + 273.6

Combine like terms: -273.6 + 273.6 = 0.0
0.0 + -0.8x + x2 = 0 + 273.6
-0.8x + x2 = 0 + 273.6

Combine like terms: 0 + 273.6 = 273.6
-0.8x + x2 = 273.6

The x term is -0.8x.  Take half its coefficient (-0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
-0.8x + 0.16 + x2 = 273.6 + 0.16

Reorder the terms:
0.16 + -0.8x + x2 = 273.6 + 0.16

Combine like terms: 273.6 + 0.16 = 273.76
0.16 + -0.8x + x2 = 273.76

Factor a perfect square on the left side:
(x + -0.4)(x + -0.4) = 273.76

Calculate the square root of the right side: 16.545694304

Break this problem into two subproblems by setting 
(x + -0.4) equal to 16.545694304 and -16.545694304.

Subproblem 1

x + -0.4 = 16.545694304 Simplifying x + -0.4 = 16.545694304 Reorder the terms: -0.4 + x = 16.545694304 Solving -0.4 + x = 16.545694304 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4' to each side of the equation. -0.4 + 0.4 + x = 16.545694304 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + x = 16.545694304 + 0.4 x = 16.545694304 + 0.4 Combine like terms: 16.545694304 + 0.4 = 16.945694304 x = 16.945694304 Simplifying x = 16.945694304

Subproblem 2

x + -0.4 = -16.545694304 Simplifying x + -0.4 = -16.545694304 Reorder the terms: -0.4 + x = -16.545694304 Solving -0.4 + x = -16.545694304 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4' to each side of the equation. -0.4 + 0.4 + x = -16.545694304 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + x = -16.545694304 + 0.4 x = -16.545694304 + 0.4 Combine like terms: -16.545694304 + 0.4 = -16.145694304 x = -16.145694304 Simplifying x = -16.145694304

Solution

The solution to the problem is based on the solutions from the subproblems. x = {16.945694304, -16.145694304}

See similar equations:

| w^3-49w^2-4w+196=0 | | 111111111-172718= | | 0=-x^2-2x+99 | | 4y=-5x+32 | | n=232 | | x^2/x^2*z^2/y^-2 | | -4/3=5/2x-6/7 | | -4/3=5/2-6/7 | | x^3-12x^2+3x=0 | | 35+(1-5)+(-11)= | | 33+(1-5)+(-11)= | | 8x+4+(3x-6)+50=180 | | 11x=130 | | 9c+3d-8= | | 24-5n=3xn | | 7y-1=8+10y | | 14-5n=3*n | | 6w^4+12w^2+6=0 | | 3x-6+8x+4=150 | | 2c^2-16c+32=0 | | 81+36r+4r^2=0 | | 4(c-2)+x=27 | | 9+6w+w^2=0 | | 4(n+6)=2(n+9)+7 | | x+96=123 | | -34+7x=-9(8x-3) | | 35=2b+5b | | 24x^2+23x=12 | | 3/x=7/150 | | [(5xy)^2/(2xy^2z)^3]^-2 | | 15x^3+9xy^3= | | -103.8-57.85= |

Equations solver categories