324.2-58.5x+1.25x^2=

Simple and best practice solution for 324.2-58.5x+1.25x^2= 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 324.2-58.5x+1.25x^2= equation: 


Simplifying
324.2 + -58.5x + 1.25x2 = 0

Solving
324.2 + -58.5x + 1.25x2 = 0

Solving for variable 'x'.

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

Divide each side by '1.25'.
259.36 + -46.8x + x2 = 0

Move the constant term to the right:

Add '-259.36' to each side of the equation.
259.36 + -46.8x + -259.36 + x2 = 0 + -259.36

Reorder the terms:
259.36 + -259.36 + -46.8x + x2 = 0 + -259.36

Combine like terms: 259.36 + -259.36 = 0.00
0.00 + -46.8x + x2 = 0 + -259.36
-46.8x + x2 = 0 + -259.36

Combine like terms: 0 + -259.36 = -259.36
-46.8x + x2 = -259.36

The x term is -46.8x.  Take half its coefficient (-23.4).
Square it (547.56) and add it to both sides.

Add '547.56' to each side of the equation.
-46.8x + 547.56 + x2 = -259.36 + 547.56

Reorder the terms:
547.56 + -46.8x + x2 = -259.36 + 547.56

Combine like terms: -259.36 + 547.56 = 288.2
547.56 + -46.8x + x2 = 288.2

Factor a perfect square on the left side:
(x + -23.4)(x + -23.4) = 288.2

Calculate the square root of the right side: 16.976454282

Break this problem into two subproblems by setting 
(x + -23.4) equal to 16.976454282 and -16.976454282.


Subproblem 1
x + -23.4 = 16.976454282

Simplifying
x + -23.4 = 16.976454282

Reorder the terms:
-23.4 + x = 16.976454282

Solving
-23.4 + x = 16.976454282

Solving for variable 'x'.

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

Add '23.4' to each side of the equation.
-23.4 + 23.4 + x = 16.976454282 + 23.4

Combine like terms: -23.4 + 23.4 = 0.0
0.0 + x = 16.976454282 + 23.4
x = 16.976454282 + 23.4

Combine like terms: 16.976454282 + 23.4 = 40.376454282
x = 40.376454282

Simplifying
x = 40.376454282


Subproblem 2
x + -23.4 = -16.976454282

Simplifying
x + -23.4 = -16.976454282

Reorder the terms:
-23.4 + x = -16.976454282

Solving
-23.4 + x = -16.976454282

Solving for variable 'x'.

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

Add '23.4' to each side of the equation.
-23.4 + 23.4 + x = -16.976454282 + 23.4

Combine like terms: -23.4 + 23.4 = 0.0
0.0 + x = -16.976454282 + 23.4
x = -16.976454282 + 23.4

Combine like terms: -16.976454282 + 23.4 = 6.423545718
x = 6.423545718

Simplifying
x = 6.423545718


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {40.376454282, 6.423545718}

See similar equations:

| x/-10=-8-(-3) | | 14n+12=3(6n+9) | | A=y+yvg | | 2.8n=14 | | 14x+14-13x=-3 | | 215.96-47X+x^2= | | f(x)=4x^2+2x^3+5 | | 4x-2=4+2x | | 3x+9+8-4x=18 | | 21-9y=13y+19 | | y+3+8=35 | | 7m+3n-3m+10n= | | 9x/3=3 | | 4105.142-344.869x+x^2= | | 144-12n-60=0 | | -1b+4+1=10 | | y-2=5(x-1) | | 7x+23=14x-3 | | fn(fn+1+fn-1)= | | 4/6=8/? | | M=2p+3qFINDQ | | 5d+6=8d-11 | | 0.50n=n+7 | | p^2-4m-16=0 | | x^3+4x^2-6x-7=0 | | 92-4m-16=0 | | 9/3-4-9 | | 7y=1+5x | | 15x-26=1x+1 | | 8y-43= | | 8y-43=y | | 6x^2+6x-432=0 |

Equations solver categories