d^4-526.66d^2-404474.5=0

Simple and best practice solution for d^4-526.66d^2-404474.5=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 d^4-526.66d^2-404474.5=0 equation: 


Simplifying
d4 + -526.66d2 + -404474.5 = 0

Reorder the terms:
-404474.5 + -526.66d2 + d4 = 0

Solving
-404474.5 + -526.66d2 + d4 = 0

Solving for variable 'd'.

Begin completing the square.

Move the constant term to the right:

Add '404474.5' to each side of the equation.
-404474.5 + -526.66d2 + 404474.5 + d4 = 0 + 404474.5

Reorder the terms:
-404474.5 + 404474.5 + -526.66d2 + d4 = 0 + 404474.5

Combine like terms: -404474.5 + 404474.5 = 0.0
0.0 + -526.66d2 + d4 = 0 + 404474.5
-526.66d2 + d4 = 0 + 404474.5

Combine like terms: 0 + 404474.5 = 404474.5
-526.66d2 + d4 = 404474.5

The d term is -526.66d2.  Take half its coefficient (-263.33).
Square it (69342.6889) and add it to both sides.

Add '69342.6889' to each side of the equation.
-526.66d2 + 69342.6889 + d4 = 404474.5 + 69342.6889

Reorder the terms:
69342.6889 + -526.66d2 + d4 = 404474.5 + 69342.6889

Combine like terms: 404474.5 + 69342.6889 = 473817.1889
69342.6889 + -526.66d2 + d4 = 473817.1889

Factor a perfect square on the left side:
(d2 + -263.33)(d2 + -263.33) = 473817.1889

Calculate the square root of the right side: 688.343801381

Break this problem into two subproblems by setting 
(d2 + -263.33) equal to 688.343801381 and -688.343801381.


Subproblem 1
d2 + -263.33 = 688.343801381

Simplifying
d2 + -263.33 = 688.343801381

Reorder the terms:
-263.33 + d2 = 688.343801381

Solving
-263.33 + d2 = 688.343801381

Solving for variable 'd'.

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

Add '263.33' to each side of the equation.
-263.33 + 263.33 + d2 = 688.343801381 + 263.33

Combine like terms: -263.33 + 263.33 = 0.00
0.00 + d2 = 688.343801381 + 263.33
d2 = 688.343801381 + 263.33

Combine like terms: 688.343801381 + 263.33 = 951.673801381
d2 = 951.673801381

Simplifying
d2 = 951.673801381

Take the square root of each side:
d = {-30.849210709, 30.849210709}


Subproblem 2
d2 + -263.33 = -688.343801381

Simplifying
d2 + -263.33 = -688.343801381

Reorder the terms:
-263.33 + d2 = -688.343801381

Solving
-263.33 + d2 = -688.343801381

Solving for variable 'd'.

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

Add '263.33' to each side of the equation.
-263.33 + 263.33 + d2 = -688.343801381 + 263.33

Combine like terms: -263.33 + 263.33 = 0.00
0.00 + d2 = -688.343801381 + 263.33
d2 = -688.343801381 + 263.33

Combine like terms: -688.343801381 + 263.33 = -425.013801381
d2 = -425.013801381

Simplifying
d2 = -425.013801381

Reorder the terms:
425.013801381 + d2 = -425.013801381 + 425.013801381

Combine like terms: -425.013801381 + 425.013801381 = 0.000000000
425.013801381 + d2 = 0.000000000

The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| q=2p+2 | | (2x-5)9-8(x+3)3+4=5 | | (7x-1)6=4(3+5x)5 | | f(x)=8/3x^3-3x | | 1/2=1/4f | | 4/7x-2=-3/7x-5 | | 4/7x-2=-3/7x-4 | | 2(a-2b)2-(a+b)2=0 | | 5x^3+3x^2-8x=0 | | 4x^2-7x+3=8x+4 | | 3c/4*c/4 | | tc=Q^2+3q+36 | | 5x+7y(100)=1100 | | y=4sen(2x)+5 | | 2-(-x-2)= | | f(x)=(x+5)(x^2-16) | | 11=99 | | 5x+60=108-3x | | 6x-4=38x-5= | | 3-2x=2x+2x | | 6x+7=-6x+6 | | y^9/y^-5 | | 1.8x=27 | | -4x+95=-13x+185 | | x-36y-48=0 | | 0+2x=-8x+50 | | x*logx=1 | | 8x-14=4x+5 | | -3x+1=-6 | | C(x)=2x^2-144x+86 | | 8s+11= | | x=920/2(x-16) |

Equations solver categories