-x^2+65x+256=0

Simple and best practice solution for -x^2+65x+256=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+65x+256=0 equation:


Simplifying
-1x2 + 65x + 256 = 0

Reorder the terms:
256 + 65x + -1x2 = 0

Solving
256 + 65x + -1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-256 + -65x + x2 = 0

Move the constant term to the right:

Add '256' to each side of the equation.
-256 + -65x + 256 + x2 = 0 + 256

Reorder the terms:
-256 + 256 + -65x + x2 = 0 + 256

Combine like terms: -256 + 256 = 0
0 + -65x + x2 = 0 + 256
-65x + x2 = 0 + 256

Combine like terms: 0 + 256 = 256
-65x + x2 = 256

The x term is -65x.  Take half its coefficient (-32.5).
Square it (1056.25) and add it to both sides.

Add '1056.25' to each side of the equation.
-65x + 1056.25 + x2 = 256 + 1056.25

Reorder the terms:
1056.25 + -65x + x2 = 256 + 1056.25

Combine like terms: 256 + 1056.25 = 1312.25
1056.25 + -65x + x2 = 1312.25

Factor a perfect square on the left side:
(x + -32.5)(x + -32.5) = 1312.25

Calculate the square root of the right side: 36.224991373

Break this problem into two subproblems by setting 
(x + -32.5) equal to 36.224991373 and -36.224991373.

Subproblem 1

x + -32.5 = 36.224991373 Simplifying x + -32.5 = 36.224991373 Reorder the terms: -32.5 + x = 36.224991373 Solving -32.5 + x = 36.224991373 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32.5' to each side of the equation. -32.5 + 32.5 + x = 36.224991373 + 32.5 Combine like terms: -32.5 + 32.5 = 0.0 0.0 + x = 36.224991373 + 32.5 x = 36.224991373 + 32.5 Combine like terms: 36.224991373 + 32.5 = 68.724991373 x = 68.724991373 Simplifying x = 68.724991373

Subproblem 2

x + -32.5 = -36.224991373 Simplifying x + -32.5 = -36.224991373 Reorder the terms: -32.5 + x = -36.224991373 Solving -32.5 + x = -36.224991373 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32.5' to each side of the equation. -32.5 + 32.5 + x = -36.224991373 + 32.5 Combine like terms: -32.5 + 32.5 = 0.0 0.0 + x = -36.224991373 + 32.5 x = -36.224991373 + 32.5 Combine like terms: -36.224991373 + 32.5 = -3.724991373 x = -3.724991373 Simplifying x = -3.724991373

Solution

The solution to the problem is based on the solutions from the subproblems. x = {68.724991373, -3.724991373}

See similar equations:

| 45/5*5/16 | | 12x-5/15-7x-2/3-0 | | 150y+x=215 | | y=-2sin(x-30)-1 | | (t-6)/2=4 | | 5+2/p=17/p | | 14(-9-6d)-7d= | | 1/2+2/x=1/x | | 1/2*32*32 | | 3(6x)=108 | | x*y=2000 | | 5q-3=3q-7 | | x^2+8x-2900=0 | | 6/4x26/4 | | -5(6m-4)= | | 2000=2x+2y | | 11.4=11.4-0.6t | | a=2bf | | X^3-7x^2+6x-12=0 | | 3*-2+5*1= | | -9n-n-3m= | | 1/2x+3/10=1/5x | | (4-v)(2v-5)=0 | | a(x+b)=cx-b | | 5(x-7)+12=3(x-7) | | (3+y)(3y-1)=0 | | 3*-2+5+1= | | (5v+1)*(3-v)=0 | | 45/8(-3/16)-1/2 | | x^2+10x-872=0 | | 6/24=×/48 | | 18/15=x |

Equations solver categories