x^2-10x-57=0

Simple and best practice solution for x^2-10x-57=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^2-10x-57=0 equation: 


Simplifying
x2 + -10x + -57 = 0

Reorder the terms:
-57 + -10x + x2 = 0

Solving
-57 + -10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '57' to each side of the equation.
-57 + -10x + 57 + x2 = 0 + 57

Reorder the terms:
-57 + 57 + -10x + x2 = 0 + 57

Combine like terms: -57 + 57 = 0
0 + -10x + x2 = 0 + 57
-10x + x2 = 0 + 57

Combine like terms: 0 + 57 = 57
-10x + x2 = 57

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 = 57 + 25

Reorder the terms:
25 + -10x + x2 = 57 + 25

Combine like terms: 57 + 25 = 82
25 + -10x + x2 = 82

Factor a perfect square on the left side:
(x + -5)(x + -5) = 82

Calculate the square root of the right side: 9.055385138

Break this problem into two subproblems by setting 
(x + -5) equal to 9.055385138 and -9.055385138.


Subproblem 1
x + -5 = 9.055385138

Simplifying
x + -5 = 9.055385138

Reorder the terms:
-5 + x = 9.055385138

Solving
-5 + x = 9.055385138

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 = 9.055385138 + 5

Combine like terms: -5 + 5 = 0
0 + x = 9.055385138 + 5
x = 9.055385138 + 5

Combine like terms: 9.055385138 + 5 = 14.055385138
x = 14.055385138

Simplifying
x = 14.055385138


Subproblem 2
x + -5 = -9.055385138

Simplifying
x + -5 = -9.055385138

Reorder the terms:
-5 + x = -9.055385138

Solving
-5 + x = -9.055385138

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 = -9.055385138 + 5

Combine like terms: -5 + 5 = 0
0 + x = -9.055385138 + 5
x = -9.055385138 + 5

Combine like terms: -9.055385138 + 5 = -4.055385138
x = -4.055385138

Simplifying
x = -4.055385138


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {14.055385138, -4.055385138}

See similar equations:

| 4x^2+33x=-52 | | 19(v+1)-3v=4(4v+4)-18 | | X=42-3x-4x | | (4)1+2-1= | | -6n-6=30 | | -7x+6(8x+5)=-134 | | 2n+2n=4n | | 5x+6=12+9x-5 | | x-(16/100)x=17.64 | | 4w-26=28 | | 26=3(k-3) | | 6.5a-5.8=10.45 | | 4.2a+2.69=-11.17 | | -3-0.4x+4-0.3x= | | 6x-9y-4+2y= | | -8(5-x)=-88 | | 2x+24=4x-3 | | 5(y+2)=12 | | 11(-6)-y=-11 | | Sexy=3 | | 4y+2=y+11 | | p-1=5p+3p-9 | | 4z+3=6z-5 | | 9.7y+7.53=-54.55 | | 37x-15+44x-29=180 | | 4+x=2(x-5) | | 4(x+1010)=3(x-10101) | | 44-x=11 | | n+3.7=9.8 | | 2-5[x+3(x+7)]= | | 7x-31=-25 | | 8.5t=83.30 |

Equations solver categories