4d^2+29d-60=

Simple and best practice solution for 4d^2+29d-60= 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 4d^2+29d-60= equation:


Simplifying
4d2 + 29d + -60 = 0

Reorder the terms:
-60 + 29d + 4d2 = 0

Solving
-60 + 29d + 4d2 = 0

Solving for variable 'd'.

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

Divide each side by '4'.
-15 + 7.25d + d2 = 0

Move the constant term to the right:

Add '15' to each side of the equation.
-15 + 7.25d + 15 + d2 = 0 + 15

Reorder the terms:
-15 + 15 + 7.25d + d2 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 7.25d + d2 = 0 + 15
7.25d + d2 = 0 + 15

Combine like terms: 0 + 15 = 15
7.25d + d2 = 15

The d term is 7.25d.  Take half its coefficient (3.625).
Square it (13.140625) and add it to both sides.

Add '13.140625' to each side of the equation.
7.25d + 13.140625 + d2 = 15 + 13.140625

Reorder the terms:
13.140625 + 7.25d + d2 = 15 + 13.140625

Combine like terms: 15 + 13.140625 = 28.140625
13.140625 + 7.25d + d2 = 28.140625

Factor a perfect square on the left side:
(d + 3.625)(d + 3.625) = 28.140625

Calculate the square root of the right side: 5.304773793

Break this problem into two subproblems by setting 
(d + 3.625) equal to 5.304773793 and -5.304773793.

Subproblem 1

d + 3.625 = 5.304773793 Simplifying d + 3.625 = 5.304773793 Reorder the terms: 3.625 + d = 5.304773793 Solving 3.625 + d = 5.304773793 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3.625' to each side of the equation. 3.625 + -3.625 + d = 5.304773793 + -3.625 Combine like terms: 3.625 + -3.625 = 0.000 0.000 + d = 5.304773793 + -3.625 d = 5.304773793 + -3.625 Combine like terms: 5.304773793 + -3.625 = 1.679773793 d = 1.679773793 Simplifying d = 1.679773793

Subproblem 2

d + 3.625 = -5.304773793 Simplifying d + 3.625 = -5.304773793 Reorder the terms: 3.625 + d = -5.304773793 Solving 3.625 + d = -5.304773793 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3.625' to each side of the equation. 3.625 + -3.625 + d = -5.304773793 + -3.625 Combine like terms: 3.625 + -3.625 = 0.000 0.000 + d = -5.304773793 + -3.625 d = -5.304773793 + -3.625 Combine like terms: -5.304773793 + -3.625 = -8.929773793 d = -8.929773793 Simplifying d = -8.929773793

Solution

The solution to the problem is based on the solutions from the subproblems. d = {1.679773793, -8.929773793}

See similar equations:

| 7x=52-3y | | 4x^2+33x+340= | | 3.5*0.5*1.5= | | 0.05-0.02(6-3P)=0.06(P-4)-0.28 | | 36w^2-289= | | 7x+3y=52 | | x^2+5x-90= | | x^2+4c-2=0 | | 7x-81=9 | | 4z^2+43z+108= | | -7f=f-12 | | m^2-40m+100= | | 3(x^2+10x+75)=0 | | 4-3(x+4)=5x+8 | | 7x^2+3x-12=6 | | 1/2(5x-1)=8 | | 7-x-2=12 | | 1/12x-1/4=7/6x+5/6 | | 21x-y=146 | | -2a+10+4a=5a-8a | | (3+u)(5u+7)=0 | | 3x-4=10x+12-7x | | 8x+6=-162 | | 7x+5y=0 | | 11x^2-12x-18=0 | | 11/2x-3/x | | x+(x-2)=4 | | -36-14x+49x^2=0 | | 3x+4(38-x)=130 | | 3x+4(x-38)=130 | | 6x^2+9x-17=0 | | 0.5m-3=9 |

Equations solver categories