25x^2+10x-11=0

Simple and best practice solution for 25x^2+10x-11=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 25x^2+10x-11=0 equation:


Simplifying
25x2 + 10x + -11 = 0

Reorder the terms:
-11 + 10x + 25x2 = 0

Solving
-11 + 10x + 25x2 = 0

Solving for variable 'x'.

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

Divide each side by '25'.
-0.44 + 0.4x + x2 = 0

Move the constant term to the right:

Add '0.44' to each side of the equation.
-0.44 + 0.4x + 0.44 + x2 = 0 + 0.44

Reorder the terms:
-0.44 + 0.44 + 0.4x + x2 = 0 + 0.44

Combine like terms: -0.44 + 0.44 = 0.00
0.00 + 0.4x + x2 = 0 + 0.44
0.4x + x2 = 0 + 0.44

Combine like terms: 0 + 0.44 = 0.44
0.4x + x2 = 0.44

The x term is 0.4x.  Take half its coefficient (0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
0.4x + 0.04 + x2 = 0.44 + 0.04

Reorder the terms:
0.04 + 0.4x + x2 = 0.44 + 0.04

Combine like terms: 0.44 + 0.04 = 0.48
0.04 + 0.4x + x2 = 0.48

Factor a perfect square on the left side:
(x + 0.2)(x + 0.2) = 0.48

Calculate the square root of the right side: 0.692820323

Break this problem into two subproblems by setting 
(x + 0.2) equal to 0.692820323 and -0.692820323.

Subproblem 1

x + 0.2 = 0.692820323 Simplifying x + 0.2 = 0.692820323 Reorder the terms: 0.2 + x = 0.692820323 Solving 0.2 + x = 0.692820323 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + x = 0.692820323 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + x = 0.692820323 + -0.2 x = 0.692820323 + -0.2 Combine like terms: 0.692820323 + -0.2 = 0.492820323 x = 0.492820323 Simplifying x = 0.492820323

Subproblem 2

x + 0.2 = -0.692820323 Simplifying x + 0.2 = -0.692820323 Reorder the terms: 0.2 + x = -0.692820323 Solving 0.2 + x = -0.692820323 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + x = -0.692820323 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + x = -0.692820323 + -0.2 x = -0.692820323 + -0.2 Combine like terms: -0.692820323 + -0.2 = -0.892820323 x = -0.892820323 Simplifying x = -0.892820323

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.492820323, -0.892820323}

See similar equations:

| 7x-(3x+1)=5-(4x-8) | | 17-×/4=-10 | | (x^5.5)/(x^0.5) | | 2(6x-6)+6(5x-5)= | | v/6=8/7 | | x/(1-2X)=5 | | 119-x=162 | | 1/27*x^3=m*x | | 5u-8=47 | | 4/x-6=5 | | 4x+5=-8-9x | | x-.95=.75 | | -1/9x^3=m*k | | 3(t-6)+7t=5(2t+4)-12 | | 4x^2+12-2=0 | | 4x+44y=-8 | | 4x+x+1=7x-21 | | 6a^3-3a^2+8a-4= | | 43/86 | | 3.1x-1.3=4 | | 1/3x-4=1/2 | | 4u^5+22u^4+10u^3=0 | | 6x+(x-8)= | | -7x+17=-67 | | 6y+40=2x | | 6x+10=5+5x | | 4+6x=3x-29 | | 15-x=-11 | | 3.5b-33.4=75.11 | | 2x^2-7x-97=0 | | 3-6x=6x-105 | | 20k+4= |

Equations solver categories