x^2+.25x-14.25=0

Simple and best practice solution for x^2+.25x-14.25=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 x^2+.25x-14.25=0 equation: 


Simplifying
x2 + 0.25x + -14.25 = 0

Reorder the terms:
-14.25 + 0.25x + x2 = 0

Solving
-14.25 + 0.25x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '14.25' to each side of the equation.
-14.25 + 0.25x + 14.25 + x2 = 0 + 14.25

Reorder the terms:
-14.25 + 14.25 + 0.25x + x2 = 0 + 14.25

Combine like terms: -14.25 + 14.25 = 0.00
0.00 + 0.25x + x2 = 0 + 14.25
0.25x + x2 = 0 + 14.25

Combine like terms: 0 + 14.25 = 14.25
0.25x + x2 = 14.25

The x term is 0.25x.  Take half its coefficient (0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
0.25x + 0.015625 + x2 = 14.25 + 0.015625

Reorder the terms:
0.015625 + 0.25x + x2 = 14.25 + 0.015625

Combine like terms: 14.25 + 0.015625 = 14.265625
0.015625 + 0.25x + x2 = 14.265625

Factor a perfect square on the left side:
(x + 0.125)(x + 0.125) = 14.265625

Calculate the square root of the right side: 3.776986232

Break this problem into two subproblems by setting 
(x + 0.125) equal to 3.776986232 and -3.776986232.


Subproblem 1
x + 0.125 = 3.776986232

Simplifying
x + 0.125 = 3.776986232

Reorder the terms:
0.125 + x = 3.776986232

Solving
0.125 + x = 3.776986232

Solving for variable 'x'.

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

Add '-0.125' to each side of the equation.
0.125 + -0.125 + x = 3.776986232 + -0.125

Combine like terms: 0.125 + -0.125 = 0.000
0.000 + x = 3.776986232 + -0.125
x = 3.776986232 + -0.125

Combine like terms: 3.776986232 + -0.125 = 3.651986232
x = 3.651986232

Simplifying
x = 3.651986232


Subproblem 2
x + 0.125 = -3.776986232

Simplifying
x + 0.125 = -3.776986232

Reorder the terms:
0.125 + x = -3.776986232

Solving
0.125 + x = -3.776986232

Solving for variable 'x'.

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

Add '-0.125' to each side of the equation.
0.125 + -0.125 + x = -3.776986232 + -0.125

Combine like terms: 0.125 + -0.125 = 0.000
0.000 + x = -3.776986232 + -0.125
x = -3.776986232 + -0.125

Combine like terms: -3.776986232 + -0.125 = -3.901986232
x = -3.901986232

Simplifying
x = -3.901986232


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.651986232, -3.901986232}

See similar equations:

| (9)(.88)(6.0606)= | | 2x-70=60 | | 12x^3-x^2=15x | | 50x-20=40 | | -6x+1=5x+122 | | 12(n-2)=8 | | (.88)(9)(2x)=96 | | -4x-7+5x=-5x+5 | | x+1=-6x+1 | | 2=20-3f | | -7x-7+9x=6 | | 5x+2-2x=-10x | | 6x+7=-6x+79 | | 6(-2x-4)-3x-1=-4 | | 19-x= | | -5x+2-2x=-10 | | 2(-2x+6)=8x+6 | | 9-2m=1 | | 10=-3.1+t | | 21+3c=75 | | ln(x)=-3 | | 2+x=-4x+52 | | 20lnx+9=0 | | 10(x+14)=10x(x+2) | | 3x-5=-25+7x | | 4(x-7)+4=-24 | | 4(2n+4)=7(9n+8)+8 | | 4+x=63 | | -4x+10=3x-18 | | 5+c=13 | | -4x+4=-17+3x | | -10n+33(8+8n)=-6(n-4) |

Equations solver categories