5x^2-12x-1=0

Simple and best practice solution for 5x^2-12x-1=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^2-12x-1=0 equation:


Simplifying
5x2 + -12x + -1 = 0

Reorder the terms:
-1 + -12x + 5x2 = 0

Solving
-1 + -12x + 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'.
-0.2 + -2.4x + x2 = 0

Move the constant term to the right:

Add '0.2' to each side of the equation.
-0.2 + -2.4x + 0.2 + x2 = 0 + 0.2

Reorder the terms:
-0.2 + 0.2 + -2.4x + x2 = 0 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + -2.4x + x2 = 0 + 0.2
-2.4x + x2 = 0 + 0.2

Combine like terms: 0 + 0.2 = 0.2
-2.4x + x2 = 0.2

The x term is -2.4x.  Take half its coefficient (-1.2).
Square it (1.44) and add it to both sides.

Add '1.44' to each side of the equation.
-2.4x + 1.44 + x2 = 0.2 + 1.44

Reorder the terms:
1.44 + -2.4x + x2 = 0.2 + 1.44

Combine like terms: 0.2 + 1.44 = 1.64
1.44 + -2.4x + x2 = 1.64

Factor a perfect square on the left side:
(x + -1.2)(x + -1.2) = 1.64

Calculate the square root of the right side: 1.280624847

Break this problem into two subproblems by setting 
(x + -1.2) equal to 1.280624847 and -1.280624847.

Subproblem 1

x + -1.2 = 1.280624847 Simplifying x + -1.2 = 1.280624847 Reorder the terms: -1.2 + x = 1.280624847 Solving -1.2 + x = 1.280624847 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2' to each side of the equation. -1.2 + 1.2 + x = 1.280624847 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + x = 1.280624847 + 1.2 x = 1.280624847 + 1.2 Combine like terms: 1.280624847 + 1.2 = 2.480624847 x = 2.480624847 Simplifying x = 2.480624847

Subproblem 2

x + -1.2 = -1.280624847 Simplifying x + -1.2 = -1.280624847 Reorder the terms: -1.2 + x = -1.280624847 Solving -1.2 + x = -1.280624847 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2' to each side of the equation. -1.2 + 1.2 + x = -1.280624847 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + x = -1.280624847 + 1.2 x = -1.280624847 + 1.2 Combine like terms: -1.280624847 + 1.2 = -0.080624847 x = -0.080624847 Simplifying x = -0.080624847

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.480624847, -0.080624847}

See similar equations:

| 2d^3*3a^2*5d^7*8a^4= | | 6x+10+2x=26 | | x+6-6x=11 | | -9-(-6)+7+(-4)=x | | -66=-9(7a+7)-3 | | 20x+15=18x-25 | | 0=6(4-x) | | -2x+8=9x-11 | | 7272636b-626267(62722-72727b)=9283883 | | x+12-3x=28 | | -7+3+(-8)-1=b | | 8=18+g | | 20s^2-39sd+18d^2= | | 8x-34= | | 11+11n=9n-9 | | -x-2=5x+16 | | 2(2x+3)+3x=3-4(x-5) | | -9(-3)= | | 2x^2-2x=-9 | | 3y-10+y+24=5y+20-3y | | (4x-6)-3x=7 | | 0.1429(14-7p)-2=-2(0.5p+3)+6 | | -11(5)= | | -3+4x=x+1+4x | | -6(9x-6)=306 | | 0.4b-3.2+1.2b= | | 35xy^3+11xy^2-6xy= | | 3x+9=5-3(x-1) | | -6x+4=70 | | 50x+200=20(x-40)+100 | | -10.8n+11.2n=-4.72 | | -8z-z=4z-7-5z |

Equations solver categories