(2x-2)(10x-3)=

Solution for (2x-2)(10x-3)= equation:

Simplifying
(2x + -2)(10x + -3) = 0

Reorder the terms:
(-2 + 2x)(10x + -3) = 0

Reorder the terms:
(-2 + 2x)(-3 + 10x) = 0

Multiply (-2 + 2x) * (-3 + 10x)
(-2(-3 + 10x) + 2x * (-3 + 10x)) = 0
((-3 * -2 + 10x * -2) + 2x * (-3 + 10x)) = 0
((6 + -20x) + 2x * (-3 + 10x)) = 0
(6 + -20x + (-3 * 2x + 10x * 2x)) = 0
(6 + -20x + (-6x + 20x2)) = 0

Combine like terms: -20x + -6x = -26x
(6 + -26x + 20x2) = 0

Solving
6 + -26x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -13x + 10x2) = 0

Factor a trinomial.
2((3 + -10x)(1 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -10x)' equal to zero and attempt to solve:

Simplifying
3 + -10x = 0

Solving
3 + -10x = 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 + -10x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -10x = 0 + -3
-10x = 0 + -3

Combine like terms: 0 + -3 = -3
-10x = -3

Divide each side by '-10'.
x = 0.3

Simplifying
x = 0.3
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {0.3, 1}