10x^2-1x-1=0

Simple and best practice solution for 10x^2-1x-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 10x^2-1x-1=0 equation:


Simplifying
10x2 + -1x + -1 = 0

Reorder the terms:
-1 + -1x + 10x2 = 0

Solving
-1 + -1x + 10x2 = 0

Solving for variable 'x'.

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

Divide each side by '10'.
-0.1 + -0.1x + x2 = 0

Move the constant term to the right:

Add '0.1' to each side of the equation.
-0.1 + -0.1x + 0.1 + x2 = 0 + 0.1

Reorder the terms:
-0.1 + 0.1 + -0.1x + x2 = 0 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + -0.1x + x2 = 0 + 0.1
-0.1x + x2 = 0 + 0.1

Combine like terms: 0 + 0.1 = 0.1
-0.1x + x2 = 0.1

The x term is -0.1x.  Take half its coefficient (-0.05).
Square it (0.0025) and add it to both sides.

Add '0.0025' to each side of the equation.
-0.1x + 0.0025 + x2 = 0.1 + 0.0025

Reorder the terms:
0.0025 + -0.1x + x2 = 0.1 + 0.0025

Combine like terms: 0.1 + 0.0025 = 0.1025
0.0025 + -0.1x + x2 = 0.1025

Factor a perfect square on the left side:
(x + -0.05)(x + -0.05) = 0.1025

Calculate the square root of the right side: 0.320156212

Break this problem into two subproblems by setting 
(x + -0.05) equal to 0.320156212 and -0.320156212.

Subproblem 1

x + -0.05 = 0.320156212 Simplifying x + -0.05 = 0.320156212 Reorder the terms: -0.05 + x = 0.320156212 Solving -0.05 + x = 0.320156212 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.05' to each side of the equation. -0.05 + 0.05 + x = 0.320156212 + 0.05 Combine like terms: -0.05 + 0.05 = 0.00 0.00 + x = 0.320156212 + 0.05 x = 0.320156212 + 0.05 Combine like terms: 0.320156212 + 0.05 = 0.370156212 x = 0.370156212 Simplifying x = 0.370156212

Subproblem 2

x + -0.05 = -0.320156212 Simplifying x + -0.05 = -0.320156212 Reorder the terms: -0.05 + x = -0.320156212 Solving -0.05 + x = -0.320156212 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.05' to each side of the equation. -0.05 + 0.05 + x = -0.320156212 + 0.05 Combine like terms: -0.05 + 0.05 = 0.00 0.00 + x = -0.320156212 + 0.05 x = -0.320156212 + 0.05 Combine like terms: -0.320156212 + 0.05 = -0.270156212 x = -0.270156212 Simplifying x = -0.270156212

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.370156212, -0.270156212}

See similar equations:

| 3z^6+z^3-10=0 | | 7-9x=137-44x | | 6(n+6)=2(18+3n) | | -58-7x=9x+22 | | y^2+36=0 | | 14-10x=76-24x | | 7r+10=5r-46 | | In(x-1)=5 | | 5x+20=7x+14 | | r+2=5(r-4) | | ln(x-1)=5 | | 9x+11=-4(x+8) | | 5x+7=88-4 | | -14(n-15)=x | | (2x^2y^2+xy-2xy^2)-(2xy-2xy^2+x^2y)= | | 2g+15=8g-3 | | =(x^2+4x+13) | | (2x^2y^2+xy^2)-(2xy-2xy^2+x^2y)= | | .666x+8=2 | | -8(8)+10=4 | | -8+10=4 | | 6g+8=9g-25 | | -3x(5+7x)=4x+6 | | 7-(2x-6)=7-3x | | -2g+15=10-(-4g+1) | | 6w=7w-15 | | -9x+7=3+19 | | 13r+16=5r | | 9x-11=79 | | (p-3)=5(p+3) | | -0.1x+5.92=-0.3x+0.12 | | 7x-4=4(x+1)+3x-8 |

Equations solver categories