x^2-50x-75=0

Simple and best practice solution for x^2-50x-75=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^2-50x-75=0 equation: 


Simplifying
x2 + -50x + -75 = 0

Reorder the terms:
-75 + -50x + x2 = 0

Solving
-75 + -50x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '75' to each side of the equation.
-75 + -50x + 75 + x2 = 0 + 75

Reorder the terms:
-75 + 75 + -50x + x2 = 0 + 75

Combine like terms: -75 + 75 = 0
0 + -50x + x2 = 0 + 75
-50x + x2 = 0 + 75

Combine like terms: 0 + 75 = 75
-50x + x2 = 75

The x term is -50x.  Take half its coefficient (-25).
Square it (625) and add it to both sides.

Add '625' to each side of the equation.
-50x + 625 + x2 = 75 + 625

Reorder the terms:
625 + -50x + x2 = 75 + 625

Combine like terms: 75 + 625 = 700
625 + -50x + x2 = 700

Factor a perfect square on the left side:
(x + -25)(x + -25) = 700

Calculate the square root of the right side: 26.457513111

Break this problem into two subproblems by setting 
(x + -25) equal to 26.457513111 and -26.457513111.


Subproblem 1
x + -25 = 26.457513111

Simplifying
x + -25 = 26.457513111

Reorder the terms:
-25 + x = 26.457513111

Solving
-25 + x = 26.457513111

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + x = 26.457513111 + 25

Combine like terms: -25 + 25 = 0
0 + x = 26.457513111 + 25
x = 26.457513111 + 25

Combine like terms: 26.457513111 + 25 = 51.457513111
x = 51.457513111

Simplifying
x = 51.457513111


Subproblem 2
x + -25 = -26.457513111

Simplifying
x + -25 = -26.457513111

Reorder the terms:
-25 + x = -26.457513111

Solving
-25 + x = -26.457513111

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + x = -26.457513111 + 25

Combine like terms: -25 + 25 = 0
0 + x = -26.457513111 + 25
x = -26.457513111 + 25

Combine like terms: -26.457513111 + 25 = -1.457513111
x = -1.457513111

Simplifying
x = -1.457513111


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {51.457513111, -1.457513111}

See similar equations:

| 2(j-10)=10 | | F(x)=100x-5x^2 | | -8u-12=-4(u-1) | | 7x+11=6x+32 | | 14=2-3r | | 3/x+1=1/2 | | 3(3v+8)-3=6(v+6) | | 7j-5j=18 | | -2(w-4)+6=-4 | | 28-22y=11.6+262.6 | | -2v+-10=9v-21 | | 3n-4=-11 | | Xy-3x=30 | | 9u+10=4u-20 | | 6=-6u+3(u+2) | | y=0.7+1 | | 4w+16-6w=2 | | -63=7x-28 | | x+0.1x=600000 | | 4v-32-6v=-22 | | -6x(x+12)=0 | | -3a-9=-21 | | -2w=20 | | -12x-6=-42 | | x(3)+2x(2)-x-2=0 | | (-5b^6)-(8b^4+14)= | | 5(2x)(x)+152=0 | | 3(j-5)+3=9 | | 27x^3+9x^2=0 | | -4p-(-19p)-(-11p)-(-15)=-11 | | 5*(2x+3x)=8x-6 | | 4x-5=3x+2x |

Equations solver categories