d^2-3d+2d^2-5+d-3-10d+5=

Simple and best practice solution for d^2-3d+2d^2-5+d-3-10d+5= 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^2-3d+2d^2-5+d-3-10d+5= equation: 


Simplifying
d2 + -3d + 2d2 + -5 + d + -3 + -10d + 5 = 0

Reorder the terms:
-5 + -3 + 5 + -3d + d + -10d + d2 + 2d2 = 0

Combine like terms: -5 + -3 = -8
-8 + 5 + -3d + d + -10d + d2 + 2d2 = 0

Combine like terms: -8 + 5 = -3
-3 + -3d + d + -10d + d2 + 2d2 = 0

Combine like terms: -3d + d = -2d
-3 + -2d + -10d + d2 + 2d2 = 0

Combine like terms: -2d + -10d = -12d
-3 + -12d + d2 + 2d2 = 0

Combine like terms: d2 + 2d2 = 3d2
-3 + -12d + 3d2 = 0

Solving
-3 + -12d + 3d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + -4d + d2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-1 + -4d + d2)' equal to zero and attempt to solve:

Simplifying
-1 + -4d + d2 = 0

Solving
-1 + -4d + d2 = 0

Begin completing the square.

Move the constant term to the right:

Add '1' to each side of the equation.
-1 + -4d + 1 + d2 = 0 + 1

Reorder the terms:
-1 + 1 + -4d + d2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4d + d2 = 0 + 1
-4d + d2 = 0 + 1

Combine like terms: 0 + 1 = 1
-4d + d2 = 1

The d term is -4d.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4d + 4 + d2 = 1 + 4

Reorder the terms:
4 + -4d + d2 = 1 + 4

Combine like terms: 1 + 4 = 5
4 + -4d + d2 = 5

Factor a perfect square on the left side:
(d + -2)(d + -2) = 5

Calculate the square root of the right side: 2.236067978

Break this problem into two subproblems by setting 
(d + -2) equal to 2.236067978 and -2.236067978.


Subproblem 1
d + -2 = 2.236067978

Simplifying
d + -2 = 2.236067978

Reorder the terms:
-2 + d = 2.236067978

Solving
-2 + d = 2.236067978

Solving for variable 'd'.

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

Add '2' to each side of the equation.
-2 + 2 + d = 2.236067978 + 2

Combine like terms: -2 + 2 = 0
0 + d = 2.236067978 + 2
d = 2.236067978 + 2

Combine like terms: 2.236067978 + 2 = 4.236067978
d = 4.236067978

Simplifying
d = 4.236067978


Subproblem 2
d + -2 = -2.236067978

Simplifying
d + -2 = -2.236067978

Reorder the terms:
-2 + d = -2.236067978

Solving
-2 + d = -2.236067978

Solving for variable 'd'.

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

Add '2' to each side of the equation.
-2 + 2 + d = -2.236067978 + 2

Combine like terms: -2 + 2 = 0
0 + d = -2.236067978 + 2
d = -2.236067978 + 2

Combine like terms: -2.236067978 + 2 = -0.236067978
d = -0.236067978

Simplifying
d = -0.236067978


Solution
The solution to the problem is based on the solutions
from the subproblems.
d = {4.236067978, -0.236067978}
Solution
d = {4.236067978, -0.236067978}

See similar equations:

| t=15+3n | | 4u-4=2u+8 | | t=15+7n | | 20x-15=16-4x | | 4u-4=2u-8 | | y=5.4+0.02x | | 4u+4=2u-8 | | 4t-8x+3t= | | 4a^3+9a^3+a^3-5a^3-7a^3-2a^3= | | 4u+4=2u+8 | | -3y-3=6 | | 3x=260 | | k+5/4-6 | | 3(2x+1)=2(2x+7) | | m/4-4 | | 12x-17=5x+4 | | 7x^2-10x^2-8x^2+12x^2-3x^2+5x^2= | | 8(y-4)=7(y-2) | | 10m^2-23m+12=0 | | 30=3x+9 | | 6(a+3)=-2(a+31) | | 33=(4x+1) | | -3-(2y-7)=-16 | | 5(x-5)-(3+7x)=-3x | | -14=7x/8 | | 3(x+4)-(9-6x)=8 | | 5=5(a+b) | | 7f-2f=4f | | 5k+1=2k+4 | | 3y-1/2=4 | | 6(y+6)=6+5y | | 7(p+3)=49 |

Equations solver categories