x=1.05(x-1.5)(x+1.2)

Solution for x=1.05(x-1.5)(x+1.2) equation:

Simplifying
x = 1.05(x + -1.5)(x + 1.2)

Reorder the terms:
x = 1.05(-1.5 + x)(x + 1.2)

Reorder the terms:
x = 1.05(-1.5 + x)(1.2 + x)

Multiply (-1.5 + x) * (1.2 + x)
x = 1.05(-1.5(1.2 + x) + x(1.2 + x))
x = 1.05((1.2 * -1.5 + x * -1.5) + x(1.2 + x))
x = 1.05((-1.8 + -1.5x) + x(1.2 + x))
x = 1.05(-1.8 + -1.5x + (1.2 * x + x * x))
x = 1.05(-1.8 + -1.5x + (1.2x + x2))

Combine like terms: -1.5x + 1.2x = -0.3x
x = 1.05(-1.8 + -0.3x + x2)
x = (-1.8 * 1.05 + -0.3x * 1.05 + x2 * 1.05)
x = (-1.89 + -0.315x + 1.05x2)

Solving
x = -1.89 + -0.315x + 1.05x2

Solving for variable 'x'.

Reorder the terms:
1.89 + x + 0.315x + -1.05x2 = -1.89 + -0.315x + 1.05x2 + 1.89 + 0.315x + -1.05x2

Combine like terms: x + 0.315x = 1.315x
1.89 + 1.315x + -1.05x2 = -1.89 + -0.315x + 1.05x2 + 1.89 + 0.315x + -1.05x2

Reorder the terms:
1.89 + 1.315x + -1.05x2 = -1.89 + 1.89 + -0.315x + 0.315x + 1.05x2 + -1.05x2

Combine like terms: -1.89 + 1.89 = 0.00
1.89 + 1.315x + -1.05x2 = 0.00 + -0.315x + 0.315x + 1.05x2 + -1.05x2
1.89 + 1.315x + -1.05x2 = -0.315x + 0.315x + 1.05x2 + -1.05x2

Combine like terms: -0.315x + 0.315x = 0.000
1.89 + 1.315x + -1.05x2 = 0.000 + 1.05x2 + -1.05x2
1.89 + 1.315x + -1.05x2 = 1.05x2 + -1.05x2

Combine like terms: 1.05x2 + -1.05x2 = 0.00
1.89 + 1.315x + -1.05x2 = 0.00

Begin completing the square.  Divide all terms by
-1.05 the coefficient of the squared term: 

Divide each side by '-1.05'.
-1.8 + -1.252380952x + x2 = 0

Move the constant term to the right:

Add '1.8' to each side of the equation.
-1.8 + -1.252380952x + 1.8 + x2 = 0 + 1.8

Reorder the terms:
-1.8 + 1.8 + -1.252380952x + x2 = 0 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + -1.252380952x + x2 = 0 + 1.8
-1.252380952x + x2 = 0 + 1.8

Combine like terms: 0 + 1.8 = 1.8
-1.252380952x + x2 = 1.8

The x term is -1.252380952x.  Take half its coefficient (-0.626190476).
Square it (0.3921145122) and add it to both sides.

Add '0.3921145122' to each side of the equation.
-1.252380952x + 0.3921145122 + x2 = 1.8 + 0.3921145122

Reorder the terms:
0.3921145122 + -1.252380952x + x2 = 1.8 + 0.3921145122

Combine like terms: 1.8 + 0.3921145122 = 2.1921145122
0.3921145122 + -1.252380952x + x2 = 2.1921145122

Factor a perfect square on the left side:
(x + -0.626190476)(x + -0.626190476) = 2.1921145122

Calculate the square root of the right side: 1.480579114

Break this problem into two subproblems by setting 
(x + -0.626190476) equal to 1.480579114 and -1.480579114.

Subproblem 1
x + -0.626190476 = 1.480579114

Simplifying
x + -0.626190476 = 1.480579114

Reorder the terms:
-0.626190476 + x = 1.480579114

Solving
-0.626190476 + x = 1.480579114

Solving for variable 'x'.

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

Add '0.626190476' to each side of the equation.
-0.626190476 + 0.626190476 + x = 1.480579114 + 0.626190476

Combine like terms: -0.626190476 + 0.626190476 = 0.000000000
0.000000000 + x = 1.480579114 + 0.626190476
x = 1.480579114 + 0.626190476

Combine like terms: 1.480579114 + 0.626190476 = 2.10676959
x = 2.10676959

Simplifying
x = 2.10676959

Subproblem 2
x + -0.626190476 = -1.480579114

Simplifying
x + -0.626190476 = -1.480579114

Reorder the terms:
-0.626190476 + x = -1.480579114

Solving
-0.626190476 + x = -1.480579114

Solving for variable 'x'.

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

Add '0.626190476' to each side of the equation.
-0.626190476 + 0.626190476 + x = -1.480579114 + 0.626190476

Combine like terms: -0.626190476 + 0.626190476 = 0.000000000
0.000000000 + x = -1.480579114 + 0.626190476
x = -1.480579114 + 0.626190476

Combine like terms: -1.480579114 + 0.626190476 = -0.854388638
x = -0.854388638

Simplifying
x = -0.854388638

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.10676959, -0.854388638}