-d^2-3d+7=0

Simple and best practice solution for -d^2-3d+7=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^2-3d+7=0 equation:


Simplifying
-1d2 + -3d + 7 = 0

Reorder the terms:
7 + -3d + -1d2 = 0

Solving
7 + -3d + -1d2 = 0

Solving for variable 'd'.

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

Divide each side by '-1'.
-7 + 3d + d2 = 0

Move the constant term to the right:

Add '7' to each side of the equation.
-7 + 3d + 7 + d2 = 0 + 7

Reorder the terms:
-7 + 7 + 3d + d2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 3d + d2 = 0 + 7
3d + d2 = 0 + 7

Combine like terms: 0 + 7 = 7
3d + d2 = 7

The d term is 3d.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3d + 2.25 + d2 = 7 + 2.25

Reorder the terms:
2.25 + 3d + d2 = 7 + 2.25

Combine like terms: 7 + 2.25 = 9.25
2.25 + 3d + d2 = 9.25

Factor a perfect square on the left side:
(d + 1.5)(d + 1.5) = 9.25

Calculate the square root of the right side: 3.041381265

Break this problem into two subproblems by setting 
(d + 1.5) equal to 3.041381265 and -3.041381265.

Subproblem 1

d + 1.5 = 3.041381265 Simplifying d + 1.5 = 3.041381265 Reorder the terms: 1.5 + d = 3.041381265 Solving 1.5 + d = 3.041381265 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + d = 3.041381265 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + d = 3.041381265 + -1.5 d = 3.041381265 + -1.5 Combine like terms: 3.041381265 + -1.5 = 1.541381265 d = 1.541381265 Simplifying d = 1.541381265

Subproblem 2

d + 1.5 = -3.041381265 Simplifying d + 1.5 = -3.041381265 Reorder the terms: 1.5 + d = -3.041381265 Solving 1.5 + d = -3.041381265 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + d = -3.041381265 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + d = -3.041381265 + -1.5 d = -3.041381265 + -1.5 Combine like terms: -3.041381265 + -1.5 = -4.541381265 d = -4.541381265 Simplifying d = -4.541381265

Solution

The solution to the problem is based on the solutions from the subproblems. d = {1.541381265, -4.541381265}

See similar equations:

| -3b+21=-9 | | 6x+8=x+6 | | -4n-1=-(n+1) | | (-5x-2)(-2x+7)= | | 38x+15+38= | | 4x+31=8x-9 | | 1000-n=258 | | -4q^2+q+6=0 | | 3x=9/6 | | -2(x-8)+6=36 | | -20-8x+30-2x= | | 8y+-4=90 | | 5-2k=-7-6k | | u=k/a | | 3x+7+1=20 | | 8-(7)(x)=-28 | | 14/15=x/5 | | 10-4x=2-7x+5 | | 24=2n+6n | | 2x+-1+3x=5x-1 | | 5=10m | | (7y+6)+4y+64=180 | | 15+10x=-5 | | -4x+t^2=5 | | a=bx+cox+d | | -r^2+5r-4=0 | | -44-(-22)=x/5 | | V/8=3 | | 3x+71+5x+37= | | .0083333= | | 2x-1+3x=2x+4 | | 5k=q-5z |

Equations solver categories