2.70(2.4-x)(2.8-x)=

Solution for 2.70(2.4-x)(2.8-x)= equation:

Simplifying
2.70(2.4 + -1x)(2.8 + -1x) = 0

Multiply (2.4 + -1x) * (2.8 + -1x)
2.70(2.4(2.8 + -1x) + -1x * (2.8 + -1x)) = 0
2.70((2.8 * 2.4 + -1x * 2.4) + -1x * (2.8 + -1x)) = 0
2.70((6.72 + -2.4x) + -1x * (2.8 + -1x)) = 0
2.70(6.72 + -2.4x + (2.8 * -1x + -1x * -1x)) = 0
2.70(6.72 + -2.4x + (-2.8x + 1x2)) = 0

Combine like terms: -2.4x + -2.8x = -5.2x
2.70(6.72 + -5.2x + 1x2) = 0
(6.72 * 2.70 + -5.2x * 2.70 + 1x2 * 2.70) = 0
(18.144 + -14.04x + 2.7x2) = 0

Solving
18.144 + -14.04x + 2.7x2 = 0

Solving for variable 'x'.

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

Divide each side by '2.7'.
6.72 + -5.2x + x2 = 0

Move the constant term to the right:

Add '-6.72' to each side of the equation.
6.72 + -5.2x + -6.72 + x2 = 0 + -6.72

Reorder the terms:
6.72 + -6.72 + -5.2x + x2 = 0 + -6.72

Combine like terms: 6.72 + -6.72 = 0.00
0.00 + -5.2x + x2 = 0 + -6.72
-5.2x + x2 = 0 + -6.72

Combine like terms: 0 + -6.72 = -6.72
-5.2x + x2 = -6.72

The x term is -5.2x.  Take half its coefficient (-2.6).
Square it (6.76) and add it to both sides.

Add '6.76' to each side of the equation.
-5.2x + 6.76 + x2 = -6.72 + 6.76

Reorder the terms:
6.76 + -5.2x + x2 = -6.72 + 6.76

Combine like terms: -6.72 + 6.76 = 0.04
6.76 + -5.2x + x2 = 0.04

Factor a perfect square on the left side:
(x + -2.6)(x + -2.6) = 0.04

Calculate the square root of the right side: 0.2

Break this problem into two subproblems by setting 
(x + -2.6) equal to 0.2 and -0.2.

Subproblem 1
x + -2.6 = 0.2

Simplifying
x + -2.6 = 0.2

Reorder the terms:
-2.6 + x = 0.2

Solving
-2.6 + x = 0.2

Solving for variable 'x'.

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

Add '2.6' to each side of the equation.
-2.6 + 2.6 + x = 0.2 + 2.6

Combine like terms: -2.6 + 2.6 = 0.0
0.0 + x = 0.2 + 2.6
x = 0.2 + 2.6

Combine like terms: 0.2 + 2.6 = 2.8
x = 2.8

Simplifying
x = 2.8

Subproblem 2
x + -2.6 = -0.2

Simplifying
x + -2.6 = -0.2

Reorder the terms:
-2.6 + x = -0.2

Solving
-2.6 + x = -0.2

Solving for variable 'x'.

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

Add '2.6' to each side of the equation.
-2.6 + 2.6 + x = -0.2 + 2.6

Combine like terms: -2.6 + 2.6 = 0.0
0.0 + x = -0.2 + 2.6
x = -0.2 + 2.6

Combine like terms: -0.2 + 2.6 = 2.4
x = 2.4

Simplifying
x = 2.4

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.8, 2.4}