(1.5d-2)*(0.7d+1)=(4-1.3d)*(2.5d)

Solution for (1.5d-2)*(0.7d+1)=(4-1.3d)*(2.5d) equation:

Simplifying
(1.5d + -2)(0.7d + 1) = (4 + -1.3d)(2.5d)

Reorder the terms:
(-2 + 1.5d)(0.7d + 1) = (4 + -1.3d)(2.5d)

Reorder the terms:
(-2 + 1.5d)(1 + 0.7d) = (4 + -1.3d)(2.5d)

Multiply (-2 + 1.5d) * (1 + 0.7d)
(-2(1 + 0.7d) + 1.5d * (1 + 0.7d)) = (4 + -1.3d)(2.5d)
((1 * -2 + 0.7d * -2) + 1.5d * (1 + 0.7d)) = (4 + -1.3d)(2.5d)
((-2 + -1.4d) + 1.5d * (1 + 0.7d)) = (4 + -1.3d)(2.5d)
(-2 + -1.4d + (1 * 1.5d + 0.7d * 1.5d)) = (4 + -1.3d)(2.5d)
(-2 + -1.4d + (1.5d + 1.05d2)) = (4 + -1.3d)(2.5d)

Combine like terms: -1.4d + 1.5d = 0.1d
(-2 + 0.1d + 1.05d2) = (4 + -1.3d)(2.5d)

Remove parenthesis around (2.5d)
-2 + 0.1d + 1.05d2 = (4 + -1.3d) * 2.5d

Reorder the terms for easier multiplication:
-2 + 0.1d + 1.05d2 = 2.5d(4 + -1.3d)
-2 + 0.1d + 1.05d2 = (4 * 2.5d + -1.3d * 2.5d)
-2 + 0.1d + 1.05d2 = (10d + -3.25d2)

Solving
-2 + 0.1d + 1.05d2 = 10d + -3.25d2

Solving for variable 'd'.

Reorder the terms:
-2 + 0.1d + -10d + 1.05d2 + 3.25d2 = 10d + -3.25d2 + -10d + 3.25d2

Combine like terms: 0.1d + -10d = -9.9d
-2 + -9.9d + 1.05d2 + 3.25d2 = 10d + -3.25d2 + -10d + 3.25d2

Combine like terms: 1.05d2 + 3.25d2 = 4.3d2
-2 + -9.9d + 4.3d2 = 10d + -3.25d2 + -10d + 3.25d2

Reorder the terms:
-2 + -9.9d + 4.3d2 = 10d + -10d + -3.25d2 + 3.25d2

Combine like terms: 10d + -10d = 0
-2 + -9.9d + 4.3d2 = 0 + -3.25d2 + 3.25d2
-2 + -9.9d + 4.3d2 = -3.25d2 + 3.25d2

Combine like terms: -3.25d2 + 3.25d2 = 0.00
-2 + -9.9d + 4.3d2 = 0.00

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

Divide each side by '4.3'.
-0.4651162791 + -2.302325581d + d2 = 0.0

Move the constant term to the right:

Add '0.4651162791' to each side of the equation.
-0.4651162791 + -2.302325581d + 0.4651162791 + d2 = 0.0 + 0.4651162791

Reorder the terms:
-0.4651162791 + 0.4651162791 + -2.302325581d + d2 = 0.0 + 0.4651162791

Combine like terms: -0.4651162791 + 0.4651162791 = 0.0000000000
0.0000000000 + -2.302325581d + d2 = 0.0 + 0.4651162791
-2.302325581d + d2 = 0.0 + 0.4651162791

Combine like terms: 0.0 + 0.4651162791 = 0.4651162791
-2.302325581d + d2 = 0.4651162791

The d term is -2.302325581d.  Take half its coefficient (-1.151162791).
Square it (1.325175771) and add it to both sides.

Add '1.325175771' to each side of the equation.
-2.302325581d + 1.325175771 + d2 = 0.4651162791 + 1.325175771

Reorder the terms:
1.325175771 + -2.302325581d + d2 = 0.4651162791 + 1.325175771

Combine like terms: 0.4651162791 + 1.325175771 = 1.7902920501
1.325175771 + -2.302325581d + d2 = 1.7902920501

Factor a perfect square on the left side:
(d + -1.151162791)(d + -1.151162791) = 1.7902920501

Calculate the square root of the right side: 1.338017956

Break this problem into two subproblems by setting 
(d + -1.151162791) equal to 1.338017956 and -1.338017956.

Subproblem 1
d + -1.151162791 = 1.338017956

Simplifying
d + -1.151162791 = 1.338017956

Reorder the terms:
-1.151162791 + d = 1.338017956

Solving
-1.151162791 + d = 1.338017956

Solving for variable 'd'.

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

Add '1.151162791' to each side of the equation.
-1.151162791 + 1.151162791 + d = 1.338017956 + 1.151162791

Combine like terms: -1.151162791 + 1.151162791 = 0.000000000
0.000000000 + d = 1.338017956 + 1.151162791
d = 1.338017956 + 1.151162791

Combine like terms: 1.338017956 + 1.151162791 = 2.489180747
d = 2.489180747

Simplifying
d = 2.489180747

Subproblem 2
d + -1.151162791 = -1.338017956

Simplifying
d + -1.151162791 = -1.338017956

Reorder the terms:
-1.151162791 + d = -1.338017956

Solving
-1.151162791 + d = -1.338017956

Solving for variable 'd'.

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

Add '1.151162791' to each side of the equation.
-1.151162791 + 1.151162791 + d = -1.338017956 + 1.151162791

Combine like terms: -1.151162791 + 1.151162791 = 0.000000000
0.000000000 + d = -1.338017956 + 1.151162791
d = -1.338017956 + 1.151162791

Combine like terms: -1.338017956 + 1.151162791 = -0.186855165
d = -0.186855165

Simplifying
d = -0.186855165

Solution
The solution to the problem is based on the solutions
from the subproblems.
d = {2.489180747, -0.186855165}