6x^2+10x-25=0

Simple and best practice solution for 6x^2+10x-25=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 6x^2+10x-25=0 equation: 


Simplifying
6x2 + 10x + -25 = 0

Reorder the terms:
-25 + 10x + 6x2 = 0

Solving
-25 + 10x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
-4.166666667 + 1.666666667x + x2 = 0

Move the constant term to the right:

Add '4.166666667' to each side of the equation.
-4.166666667 + 1.666666667x + 4.166666667 + x2 = 0 + 4.166666667

Reorder the terms:
-4.166666667 + 4.166666667 + 1.666666667x + x2 = 0 + 4.166666667

Combine like terms: -4.166666667 + 4.166666667 = 0.000000000
0.000000000 + 1.666666667x + x2 = 0 + 4.166666667
1.666666667x + x2 = 0 + 4.166666667

Combine like terms: 0 + 4.166666667 = 4.166666667
1.666666667x + x2 = 4.166666667

The x term is 1.666666667x.  Take half its coefficient (0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
1.666666667x + 0.6944444447 + x2 = 4.166666667 + 0.6944444447

Reorder the terms:
0.6944444447 + 1.666666667x + x2 = 4.166666667 + 0.6944444447

Combine like terms: 4.166666667 + 0.6944444447 = 4.8611111117
0.6944444447 + 1.666666667x + x2 = 4.8611111117

Factor a perfect square on the left side:
(x + 0.8333333335)(x + 0.8333333335) = 4.8611111117

Calculate the square root of the right side: 2.204792759

Break this problem into two subproblems by setting 
(x + 0.8333333335) equal to 2.204792759 and -2.204792759.


Subproblem 1
x + 0.8333333335 = 2.204792759

Simplifying
x + 0.8333333335 = 2.204792759

Reorder the terms:
0.8333333335 + x = 2.204792759

Solving
0.8333333335 + x = 2.204792759

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.8333333335' to each side of the equation.
0.8333333335 + -0.8333333335 + x = 2.204792759 + -0.8333333335

Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000
0.0000000000 + x = 2.204792759 + -0.8333333335
x = 2.204792759 + -0.8333333335

Combine like terms: 2.204792759 + -0.8333333335 = 1.3714594255
x = 1.3714594255

Simplifying
x = 1.3714594255


Subproblem 2
x + 0.8333333335 = -2.204792759

Simplifying
x + 0.8333333335 = -2.204792759

Reorder the terms:
0.8333333335 + x = -2.204792759

Solving
0.8333333335 + x = -2.204792759

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.8333333335' to each side of the equation.
0.8333333335 + -0.8333333335 + x = -2.204792759 + -0.8333333335

Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000
0.0000000000 + x = -2.204792759 + -0.8333333335
x = -2.204792759 + -0.8333333335

Combine like terms: -2.204792759 + -0.8333333335 = -3.0381260925
x = -3.0381260925

Simplifying
x = -3.0381260925


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.3714594255, -3.0381260925}

See similar equations:

| 25/6+11/2 | | 2(3+2)=5(2y-4) | | -19x^3+37x^2+160x-34=0 | | 4x=6x+13 | | 2/5x+1=-23 | | X=3ln(x) | | 8x-9=24 | | (x^2-4x+5)/(x-2) | | 6y-0.6=7y | | 2(4+2y)+5y=17 | | r-6.5=-6.8 | | y=1.3x-4.7 | | 5-9-8/-9+9 | | 5(4x-7)-4(x+2)-18x= | | 24+3n=3(n+8) | | 2.8(3r+9)-1.5r= | | 3/5(x+4)+1/2x=x+3 | | 4y+4-8y-1= | | 8y-1-4y+4= | | 00.5X+10=-0.05x+70 | | 200x-51=49 | | -4(1+8k)+8k=-24-4k | | (2x+5)-(7x+1)= | | (7x+1)-(2x+5)= | | 7x+1-2x+5= | | 7d=58+9d | | (8x-8)-(6x-10)= | | 4x=-(3/16) | | 4/x+7/x^2-2/x^3 | | 8x-8-6x-10= | | =3z(8-5z) | | 6x-4+5x+3= |

Equations solver categories