10x^2+x=6

Simple and best practice solution for 10x^2+x=6 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+x=6 equation:


Simplifying
10x2 + x = 6

Reorder the terms:
x + 10x2 = 6

Solving
x + 10x2 = 6

Solving for variable 'x'.

Reorder the terms:
-6 + x + 10x2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + x + 10x2 = 0

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

Divide each side by '10'.
-0.6 + 0.1x + x2 = 0

Move the constant term to the right:

Add '0.6' to each side of the equation.
-0.6 + 0.1x + 0.6 + x2 = 0 + 0.6

Reorder the terms:
-0.6 + 0.6 + 0.1x + x2 = 0 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.1x + x2 = 0 + 0.6
0.1x + x2 = 0 + 0.6

Combine like terms: 0 + 0.6 = 0.6
0.1x + x2 = 0.6

The x term is x.  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.
0.1x + 0.25 + x2 = 0.6 + 0.25

Reorder the terms:
0.25 + 0.1x + x2 = 0.6 + 0.25

Combine like terms: 0.6 + 0.25 = 0.85
0.25 + 0.1x + x2 = 0.85

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 0.85

Calculate the square root of the right side: 0.921954446

Break this problem into two subproblems by setting 
(x + 0.5) equal to 0.921954446 and -0.921954446.

Subproblem 1

x + 0.5 = 0.921954446 Simplifying x + 0.5 = 0.921954446 Reorder the terms: 0.5 + x = 0.921954446 Solving 0.5 + x = 0.921954446 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 = 0.921954446 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 0.921954446 + -0.5 x = 0.921954446 + -0.5 Combine like terms: 0.921954446 + -0.5 = 0.421954446 x = 0.421954446 Simplifying x = 0.421954446

Subproblem 2

x + 0.5 = -0.921954446 Simplifying x + 0.5 = -0.921954446 Reorder the terms: 0.5 + x = -0.921954446 Solving 0.5 + x = -0.921954446 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 = -0.921954446 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -0.921954446 + -0.5 x = -0.921954446 + -0.5 Combine like terms: -0.921954446 + -0.5 = -1.421954446 x = -1.421954446 Simplifying x = -1.421954446

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.421954446, -1.421954446}

See similar equations:

| 64c^3+1=0 | | h(t)=16t^2+vot+33o | | 7(z+8)=6(z-3)+z | | 3/5b-1/3=-10/3 | | Y=-1/3(6)-5 | | -7/3x=21 | | Y=-1/3(0)-5 | | Y=(5x-6)(2x+3) | | 2y-20=40 | | -42=-7/9y | | Y=-1/3(-6)-5 | | 3.4-d=-9.3 | | 3(w-5)=8w-10 | | 5+3lnx=26 | | -6x+8=-4(x+2) | | 4+1.5(z+2)=3.5z-7 | | 95x^4+171x^2-38x=0 | | 7t+8=43 | | -2*sinx*cosx=0 | | 6(x-8)=8x-42 | | 0.8x+3.9=0.7x+2.3 | | 15x^2+5x+9=0 | | 22a+4=12 | | 8xn=24+2xn | | https://www.mathsonline.com.au/assets/interactives/images/3248-113-2.png | | 9x-12=x^2-5x | | cos2/3x=-1 | | 0.41666667*36= | | -4x-101=39-11x | | t=135.29+0.38m(190) | | 3a+22=43 | | 5x-2(-7x+2)=0 |

Equations solver categories