2d^2-50d-4=0

Simple and best practice solution for 2d^2-50d-4=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 2d^2-50d-4=0 equation: 


Simplifying
2d2 + -50d + -4 = 0

Reorder the terms:
-4 + -50d + 2d2 = 0

Solving
-4 + -50d + 2d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + -25d + d2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + -25d + d2)' equal to zero and attempt to solve:

Simplifying
-2 + -25d + d2 = 0

Solving
-2 + -25d + d2 = 0

Begin completing the square.

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + -25d + 2 + d2 = 0 + 2

Reorder the terms:
-2 + 2 + -25d + d2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -25d + d2 = 0 + 2
-25d + d2 = 0 + 2

Combine like terms: 0 + 2 = 2
-25d + d2 = 2

The d term is -25d.  Take half its coefficient (-12.5).
Square it (156.25) and add it to both sides.

Add '156.25' to each side of the equation.
-25d + 156.25 + d2 = 2 + 156.25

Reorder the terms:
156.25 + -25d + d2 = 2 + 156.25

Combine like terms: 2 + 156.25 = 158.25
156.25 + -25d + d2 = 158.25

Factor a perfect square on the left side:
(d + -12.5)(d + -12.5) = 158.25

Calculate the square root of the right side: 12.579745625

Break this problem into two subproblems by setting 
(d + -12.5) equal to 12.579745625 and -12.579745625.


Subproblem 1
d + -12.5 = 12.579745625

Simplifying
d + -12.5 = 12.579745625

Reorder the terms:
-12.5 + d = 12.579745625

Solving
-12.5 + d = 12.579745625

Solving for variable 'd'.

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

Add '12.5' to each side of the equation.
-12.5 + 12.5 + d = 12.579745625 + 12.5

Combine like terms: -12.5 + 12.5 = 0.0
0.0 + d = 12.579745625 + 12.5
d = 12.579745625 + 12.5

Combine like terms: 12.579745625 + 12.5 = 25.079745625
d = 25.079745625

Simplifying
d = 25.079745625


Subproblem 2
d + -12.5 = -12.579745625

Simplifying
d + -12.5 = -12.579745625

Reorder the terms:
-12.5 + d = -12.579745625

Solving
-12.5 + d = -12.579745625

Solving for variable 'd'.

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

Add '12.5' to each side of the equation.
-12.5 + 12.5 + d = -12.579745625 + 12.5

Combine like terms: -12.5 + 12.5 = 0.0
0.0 + d = -12.579745625 + 12.5
d = -12.579745625 + 12.5

Combine like terms: -12.579745625 + 12.5 = -0.079745625
d = -0.079745625

Simplifying
d = -0.079745625


Solution
The solution to the problem is based on the solutions
from the subproblems.
d = {25.079745625, -0.079745625}
Solution
d = {25.079745625, -0.079745625}

See similar equations:

| 6P/6= | | h^2+25h+36=0 | | 6p/6 | | 110/1/11 | | 7t^2-9=0 | | a*{3/4]*2*a*a= | | -2r^2+16r=-22 | | (2v-5)(3v^2-v-6)= | | -7h^2+7h+5=0 | | 2b-1=17 | | 14y^2-161y-84=0 | | -6(-2x+2)=-5x | | -2w^2+4w-2=0 | | -5y^2-2y+7=0 | | 3p^2-7p+1=0 | | a*x*a*a*4*x= | | 4z^2+44z+121=0 | | h(t)=2t+4findh(4t) | | -7u^2+6=0 | | 9g^2+6g+1=0 | | h(t)=2t+4 | | 6n^2-8=0 | | 40x+5(x*1.5)=700 | | 4*x*a*a*4*x= | | -3z^2+2=0 | | 7*14=w | | (5+16)+12= | | -9f^2+6f-1=0 | | 6w^5y^3/12v^5w^2-9w^4 | | 15a+5b=150 | | 8q^2+7q-5=0 | | 40x+(5x+1.5)=700 |

Equations solver categories