(d+0.5)(d+0.5)=1

Simple and best practice solution for (d+0.5)(d+0.5)=1 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+0.5)(d+0.5)=1 equation:


Simplifying
(d + 0.5)(d + 0.5) = 1

Reorder the terms:
(0.5 + d)(d + 0.5) = 1

Reorder the terms:
(0.5 + d)(0.5 + d) = 1

Multiply (0.5 + d) * (0.5 + d)
(0.5(0.5 + d) + d(0.5 + d)) = 1
((0.5 * 0.5 + d * 0.5) + d(0.5 + d)) = 1
((0.25 + 0.5d) + d(0.5 + d)) = 1
(0.25 + 0.5d + (0.5 * d + d * d)) = 1
(0.25 + 0.5d + (0.5d + d2)) = 1

Combine like terms: 0.5d + 0.5d = 1d
(0.25 + 1d + d2) = 1

Solving
0.25 + 1d + d2 = 1

Solving for variable 'd'.

Reorder the terms:
0.25 + -1 + 1d + d2 = 1 + -1

Combine like terms: 0.25 + -1 = -0.75
-0.75 + 1d + d2 = 1 + -1

Combine like terms: 1 + -1 = 0
-0.75 + 1d + d2 = 0

Begin completing the square.

Move the constant term to the right:

Add '0.75' to each side of the equation.
-0.75 + 1d + 0.75 + d2 = 0 + 0.75

Reorder the terms:
-0.75 + 0.75 + 1d + d2 = 0 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + 1d + d2 = 0 + 0.75
1d + d2 = 0 + 0.75

Combine like terms: 0 + 0.75 = 0.75
1d + d2 = 0.75

The d term is 1d.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
d + 0.25 + d2 = 0.75 + 0.25

Reorder the terms:
0.25 + d + d2 = 0.75 + 0.25

Combine like terms: 0.75 + 0.25 = 1
0.25 + d + d2 = 1

Factor a perfect square on the left side:
(d + 0.5)(d + 0.5) = 1

Calculate the square root of the right side: 1

Break this problem into two subproblems by setting 
(d + 0.5) equal to 1 and -1.

Subproblem 1

d + 0.5 = 1 Simplifying d + 0.5 = 1 Reorder the terms: 0.5 + d = 1 Solving 0.5 + d = 1 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + d = 1 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + d = 1 + -0.5 d = 1 + -0.5 Combine like terms: 1 + -0.5 = 0.5 d = 0.5 Simplifying d = 0.5

Subproblem 2

d + 0.5 = -1 Simplifying d + 0.5 = -1 Reorder the terms: 0.5 + d = -1 Solving 0.5 + d = -1 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + d = -1 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + d = -1 + -0.5 d = -1 + -0.5 Combine like terms: -1 + -0.5 = -1.5 d = -1.5 Simplifying d = -1.5

Solution

The solution to the problem is based on the solutions from the subproblems. d = {0.5, -1.5}

See similar equations:

| 2x+3(-2x-20)=-28 | | 3/4*-9=27 | | U-8=6 | | (n+3)(n+4)=2 | | G(x)=x^2+6x-40 | | x(.7)=825000 | | 5y-3=3ys+5 | | (d/2)-5=8 | | y=3.5x-84 | | -2(3x-8)+5=-6x+21 | | T(t-4)(t-5)=0 | | 2(3x-8)+5=-6x+21 | | -8x+7=95 | | n-1/5=9/5 | | -2(3x-8)+5=-6+21 | | 80(y-6)+40y=20y-10(70) | | z=y-mx | | 9/4-6=0 | | 31(d-973)=806 | | 5u-20= | | 24(t+2)=40t | | 3xq=18 | | (11x-23)+(4x-7)+90=180 | | 4.2*x-3=5.4 | | A+B+58=180 | | 1.50x+2.25y=1189.50 | | 7(5x-9)=35-63 | | (3x+8)+(4x-26)=180 | | p(x)=x^4-6x^2-4x | | 6(d-90)=18 | | (15)=15 | | 93-y=158 |

Equations solver categories