x^2-60x+230=0

Simple and best practice solution for x^2-60x+230=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^2-60x+230=0 equation: 


Simplifying
x2 + -60x + 230 = 0

Reorder the terms:
230 + -60x + x2 = 0

Solving
230 + -60x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-230' to each side of the equation.
230 + -60x + -230 + x2 = 0 + -230

Reorder the terms:
230 + -230 + -60x + x2 = 0 + -230

Combine like terms: 230 + -230 = 0
0 + -60x + x2 = 0 + -230
-60x + x2 = 0 + -230

Combine like terms: 0 + -230 = -230
-60x + x2 = -230

The x term is -60x.  Take half its coefficient (-30).
Square it (900) and add it to both sides.

Add '900' to each side of the equation.
-60x + 900 + x2 = -230 + 900

Reorder the terms:
900 + -60x + x2 = -230 + 900

Combine like terms: -230 + 900 = 670
900 + -60x + x2 = 670

Factor a perfect square on the left side:
(x + -30)(x + -30) = 670

Calculate the square root of the right side: 25.884358211

Break this problem into two subproblems by setting 
(x + -30) equal to 25.884358211 and -25.884358211.


Subproblem 1
x + -30 = 25.884358211

Simplifying
x + -30 = 25.884358211

Reorder the terms:
-30 + x = 25.884358211

Solving
-30 + x = 25.884358211

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + x = 25.884358211 + 30

Combine like terms: -30 + 30 = 0
0 + x = 25.884358211 + 30
x = 25.884358211 + 30

Combine like terms: 25.884358211 + 30 = 55.884358211
x = 55.884358211

Simplifying
x = 55.884358211


Subproblem 2
x + -30 = -25.884358211

Simplifying
x + -30 = -25.884358211

Reorder the terms:
-30 + x = -25.884358211

Solving
-30 + x = -25.884358211

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + x = -25.884358211 + 30

Combine like terms: -30 + 30 = 0
0 + x = -25.884358211 + 30
x = -25.884358211 + 30

Combine like terms: -25.884358211 + 30 = 4.115641789
x = 4.115641789

Simplifying
x = 4.115641789


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {55.884358211, 4.115641789}

See similar equations:

| (20-2x)(20-2x)(3)= | | x^2-60x+216=0 | | x^2-59x+216=0 | | 8-(4n-3)=1-5n | | 6(y-8)=5(3+y) | | 2x=2x+0 | | 7y-9=8y | | cox(x)=0.5 | | -8(k+3)-(7k-8)=16k | | 7(x-7)=8+6x | | 4x+8-2x=9+x-9 | | 1/u | | x^2+12s+36=0 | | 10-6x=-15-11x | | -9(n-4)=3-8n | | 5x^2-25x+15=0 | | 15a^2-22tv-5v^2=0 | | 7/50=x/75 | | n(n-1)/2=12 | | (x-30)+(115+x)-x=180 | | 3x+2(2x-11)=13 | | 6[t(t)-2]-5t-38=0 | | log(7.4x)=-4.8 | | x*5+9+8*8=500 | | ([a^2)(b^2)]/[(a)(b^2)]=? | | 44=2*3.14*r | | (a^2)(b^2)/(a)(b^2)=? | | x-2y-z=6 | | -8x-3y=19 | | 170=10+32t | | x+5=12x+9 | | 12=0.648/p |

Equations solver categories