x^2-60x+750=0

Simple and best practice solution for x^2-60x+750=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+750=0 equation: 


Simplifying
x2 + -60x + 750 = 0

Reorder the terms:
750 + -60x + x2 = 0

Solving
750 + -60x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-750' to each side of the equation.
750 + -60x + -750 + x2 = 0 + -750

Reorder the terms:
750 + -750 + -60x + x2 = 0 + -750

Combine like terms: 750 + -750 = 0
0 + -60x + x2 = 0 + -750
-60x + x2 = 0 + -750

Combine like terms: 0 + -750 = -750
-60x + x2 = -750

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 = -750 + 900

Reorder the terms:
900 + -60x + x2 = -750 + 900

Combine like terms: -750 + 900 = 150
900 + -60x + x2 = 150

Factor a perfect square on the left side:
(x + -30)(x + -30) = 150

Calculate the square root of the right side: 12.247448714

Break this problem into two subproblems by setting 
(x + -30) equal to 12.247448714 and -12.247448714.


Subproblem 1
x + -30 = 12.247448714

Simplifying
x + -30 = 12.247448714

Reorder the terms:
-30 + x = 12.247448714

Solving
-30 + x = 12.247448714

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 = 12.247448714 + 30

Combine like terms: -30 + 30 = 0
0 + x = 12.247448714 + 30
x = 12.247448714 + 30

Combine like terms: 12.247448714 + 30 = 42.247448714
x = 42.247448714

Simplifying
x = 42.247448714


Subproblem 2
x + -30 = -12.247448714

Simplifying
x + -30 = -12.247448714

Reorder the terms:
-30 + x = -12.247448714

Solving
-30 + x = -12.247448714

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 = -12.247448714 + 30

Combine like terms: -30 + 30 = 0
0 + x = -12.247448714 + 30
x = -12.247448714 + 30

Combine like terms: -12.247448714 + 30 = 17.752551286
x = 17.752551286

Simplifying
x = 17.752551286


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {42.247448714, 17.752551286}

See similar equations:

| 85*38=25 | | Log(8)128=x | | 500+80(6)= | | 2w+9-3(-6w-1)=2(w-1) | | x+52+120+105=360 | | 3x+3y-3x+17y=180 | | 500+80(5)= | | 30=10+2x | | 3/7x21/2 | | 1.2+16=39 | | -8+5x=37 | | 15.3/12 | | 2(c-12)=2c-12 | | 4-6x=76 | | x=(y-8)/3 | | -14-2m=-2(m+8) | | 18.4y-3.1=16.4 | | 16+20=y-48 | | 2a+b-8=0 | | 2(2x-5)=3x+5-2(5) | | k+94=-6k-4 | | 7(3)+4+11=35 | | 16x-x^2=48 | | h-27=218 | | X^4+x^3-30=0 | | -2p-3=p+108 | | 16/1.8 | | 7(3)+4+11= | | b+20=60 | | 4(-7p-2)-6=-6(5p+9) | | 12x=-32+4y | | 10*k=16 |

Equations solver categories