x^2+5x+6.25=

Simple and best practice solution for x^2+5x+6.25= 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 x^2+5x+6.25= equation:


Simplifying
x2 + 5x + 6.25 = 0

Reorder the terms:
6.25 + 5x + x2 = 0

Solving
6.25 + 5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-6.25' to each side of the equation.
6.25 + 5x + -6.25 + x2 = 0 + -6.25

Reorder the terms:
6.25 + -6.25 + 5x + x2 = 0 + -6.25

Combine like terms: 6.25 + -6.25 = 0.00
0.00 + 5x + x2 = 0 + -6.25
5x + x2 = 0 + -6.25

Combine like terms: 0 + -6.25 = -6.25
5x + x2 = -6.25

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = -6.25 + 6.25

Reorder the terms:
6.25 + 5x + x2 = -6.25 + 6.25

Combine like terms: -6.25 + 6.25 = 0.00
6.25 + 5x + x2 = 0.00

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 0.00

Calculate the square root of the right side: 0.00

Break this problem into two subproblems by setting 
(x + 2.5) equal to 0.00 and 0.00.

Subproblem 1

x + 2.5 = 0.00 Simplifying x + 2.5 = 0.00 Reorder the terms: 2.5 + x = 0.00 Solving 2.5 + x = 0.00 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + x = 0.00 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = 0.00 + -2.5 x = 0.00 + -2.5 Combine like terms: 0.00 + -2.5 = -2.5 x = -2.5 Simplifying x = -2.5

Subproblem 2

x + 2.5 = 0.00 Simplifying x + 2.5 = 0.00 Reorder the terms: 2.5 + x = 0.00 Solving 2.5 + x = 0.00 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + x = 0.00 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = 0.00 + -2.5 x = 0.00 + -2.5 Combine like terms: 0.00 + -2.5 = -2.5 x = -2.5 Simplifying x = -2.5

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-2.5, -2.5}

See similar equations:

| 3ft/2sec=100ft/xsec | | 2z^2+312.8z=37223 | | 2(6x-10)=7 | | (.5x+5)+(x-1)+x=169 | | -7=1+2/3 | | n/6=24 | | 3cosx+sinx=0 | | 7x-10+13x-10=360 | | 67/100=100/x | | 7x+1-x=9 | | t=V8K/g | | M+7m-4m+8= | | 65+3x=-35-x | | -2(6-10x)=5(2x-6) | | -17+13-X=18 | | -2(x-1)=x+1 | | 3X-8+5X+2=180 | | -10X+1X=6 | | 6y(3-8)=52+38 | | [.5*(4+n)]*6=72 | | y+3x-5=0 | | y=4x^2+8x+12 | | 7.5x-5.16=3.1+12 | | n^2+3=16 | | 6m+3n+9m+5n= | | 2(x+7)=10X+18 | | -17x+19y=2 | | 2.25+2.25= | | 41X-17X=-39 | | [1.2*(4+n)]*6=72 | | 15x=9x-4.5 | | -1=-22-y |

Equations solver categories