x^2+529x-64=0

Simple and best practice solution for x^2+529x-64=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+529x-64=0 equation:


Simplifying
x2 + 529x + -64 = 0

Reorder the terms:
-64 + 529x + x2 = 0

Solving
-64 + 529x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '64' to each side of the equation.
-64 + 529x + 64 + x2 = 0 + 64

Reorder the terms:
-64 + 64 + 529x + x2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 529x + x2 = 0 + 64
529x + x2 = 0 + 64

Combine like terms: 0 + 64 = 64
529x + x2 = 64

The x term is 529x.  Take half its coefficient (264.5).
Square it (69960.25) and add it to both sides.

Add '69960.25' to each side of the equation.
529x + 69960.25 + x2 = 64 + 69960.25

Reorder the terms:
69960.25 + 529x + x2 = 64 + 69960.25

Combine like terms: 64 + 69960.25 = 70024.25
69960.25 + 529x + x2 = 70024.25

Factor a perfect square on the left side:
(x + 264.5)(x + 264.5) = 70024.25

Calculate the square root of the right side: 264.62095533

Break this problem into two subproblems by setting 
(x + 264.5) equal to 264.62095533 and -264.62095533.

Subproblem 1

x + 264.5 = 264.62095533 Simplifying x + 264.5 = 264.62095533 Reorder the terms: 264.5 + x = 264.62095533 Solving 264.5 + x = 264.62095533 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-264.5' to each side of the equation. 264.5 + -264.5 + x = 264.62095533 + -264.5 Combine like terms: 264.5 + -264.5 = 0.0 0.0 + x = 264.62095533 + -264.5 x = 264.62095533 + -264.5 Combine like terms: 264.62095533 + -264.5 = 0.12095533 x = 0.12095533 Simplifying x = 0.12095533

Subproblem 2

x + 264.5 = -264.62095533 Simplifying x + 264.5 = -264.62095533 Reorder the terms: 264.5 + x = -264.62095533 Solving 264.5 + x = -264.62095533 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-264.5' to each side of the equation. 264.5 + -264.5 + x = -264.62095533 + -264.5 Combine like terms: 264.5 + -264.5 = 0.0 0.0 + x = -264.62095533 + -264.5 x = -264.62095533 + -264.5 Combine like terms: -264.62095533 + -264.5 = -529.12095533 x = -529.12095533 Simplifying x = -529.12095533

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.12095533, -529.12095533}

See similar equations:

| 6+2h-4+5h= | | 23x=7+4y-12 | | 2y+10-6y=12solvey | | 10x^4+15x^3=0 | | -16x+y=44 | | -x-138=104-12x | | 30x+80=20x+90 | | X(x-3)(2x-1)=0 | | c=37.12+0.25x | | -2x-37=-6x+39 | | x+(x-1)x+(x-1)=77 | | z^16-4096=0 | | y=cos*4x | | 13x+115=13(x+15) | | 2x+12+102=180 | | 2(x+5)+(4x-3)=0 | | 3x+15+60=180 | | x+(x-1)=77 | | -62+2x=83+7x | | 23x^3=0 | | 0.125z=80 | | 8c=4896 | | 3x(x+8)+5(x+8)=0 | | 11x-86=5x+52 | | 4.125c+5=9.85 | | 18f=504 | | 3(8w+2)-6=0 | | 5x^2=117 | | 1.7w-4=2.63 | | 3(3x-1)=5 | | y=x^2+12x+29 | | 6x-19=4x+7 |

Equations solver categories