x*x-10x-1500=0

Simple and best practice solution for x*x-10x-1500=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*x-10x-1500=0 equation: 


Simplifying
x * x + -10x + -1500 = 0

Multiply x * x
x2 + -10x + -1500 = 0

Reorder the terms:
-1500 + -10x + x2 = 0

Solving
-1500 + -10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '1500' to each side of the equation.
-1500 + -10x + 1500 + x2 = 0 + 1500

Reorder the terms:
-1500 + 1500 + -10x + x2 = 0 + 1500

Combine like terms: -1500 + 1500 = 0
0 + -10x + x2 = 0 + 1500
-10x + x2 = 0 + 1500

Combine like terms: 0 + 1500 = 1500
-10x + x2 = 1500

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = 1500 + 25

Reorder the terms:
25 + -10x + x2 = 1500 + 25

Combine like terms: 1500 + 25 = 1525
25 + -10x + x2 = 1525

Factor a perfect square on the left side:
(x + -5)(x + -5) = 1525

Calculate the square root of the right side: 39.05124838

Break this problem into two subproblems by setting 
(x + -5) equal to 39.05124838 and -39.05124838.


Subproblem 1
x + -5 = 39.05124838

Simplifying
x + -5 = 39.05124838

Reorder the terms:
-5 + x = 39.05124838

Solving
-5 + x = 39.05124838

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + x = 39.05124838 + 5

Combine like terms: -5 + 5 = 0
0 + x = 39.05124838 + 5
x = 39.05124838 + 5

Combine like terms: 39.05124838 + 5 = 44.05124838
x = 44.05124838

Simplifying
x = 44.05124838


Subproblem 2
x + -5 = -39.05124838

Simplifying
x + -5 = -39.05124838

Reorder the terms:
-5 + x = -39.05124838

Solving
-5 + x = -39.05124838

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + x = -39.05124838 + 5

Combine like terms: -5 + 5 = 0
0 + x = -39.05124838 + 5
x = -39.05124838 + 5

Combine like terms: -39.05124838 + 5 = -34.05124838
x = -34.05124838

Simplifying
x = -34.05124838


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {44.05124838, -34.05124838}

See similar equations:

| 6540=200+4958log(t+1) | | 7x-6x-2=4x-3+x-19 | | 6x-11=4x-12 | | F+2f+3(2f)=900 | | 2y(x+4)= | | .8(c+12)=-8 | | -8(-y+4v-3)= | | x^4+41x^3-18=0 | | 8e^3x+10=27 | | x^4+41x^3=18 | | 5(a-b)=a+c | | 2/2-6h=13/6 | | 3c-5=15 | | 9X^2-88X-240=0 | | N+n+2+n+4=201 | | 6x^2+y=272 | | a^2+9a=-18 | | 6x^2+6y=272 | | =t(t-5) | | x^3-12x^2+54x-68=0 | | N=0.35(250) | | R+2r+r+3=59 | | -7(x+6)-2(x-5)=0 | | SolveA=2BC+2BD+2CD | | -8x-6x+8=-31+3x-7 | | 78=y+9 | | y-4x=-11 | | f(x)=(x-9)^1/2 | | 16x^2+2x-56x=0 | | X+3(x+2)=31 | | B+.12b=1680 | | N+.06N=1007 |

Equations solver categories