2(5*x+5)*(-4*x+6)=0

Solution for 2(5*x+5)*(-4*x+6)=0 equation:

Simplifying
2(5x + 5)(-4x + 6) = 0

Reorder the terms:
2(5 + 5x)(-4x + 6) = 0

Reorder the terms:
2(5 + 5x)(6 + -4x) = 0

Multiply (5 + 5x) * (6 + -4x)
2(5(6 + -4x) + 5x * (6 + -4x)) = 0
2((6 * 5 + -4x * 5) + 5x * (6 + -4x)) = 0
2((30 + -20x) + 5x * (6 + -4x)) = 0
2(30 + -20x + (6 * 5x + -4x * 5x)) = 0
2(30 + -20x + (30x + -20x2)) = 0

Combine like terms: -20x + 30x = 10x
2(30 + 10x + -20x2) = 0
(30 * 2 + 10x * 2 + -20x2 * 2) = 0
(60 + 20x + -40x2) = 0

Solving
60 + 20x + -40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '20'.
20(3 + x + -2x2) = 0

Factor a trinomial.
20((3 + -2x)(1 + x)) = 0

Ignore the factor 20.
Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {1.5, -1}