(3x+3)(5x-5)=14x-18

Solution for (3x+3)(5x-5)=14x-18 equation:

Simplifying
(3x + 3)(5x + -5) = 14x + -18

Reorder the terms:
(3 + 3x)(5x + -5) = 14x + -18

Reorder the terms:
(3 + 3x)(-5 + 5x) = 14x + -18

Multiply (3 + 3x) * (-5 + 5x)
(3(-5 + 5x) + 3x * (-5 + 5x)) = 14x + -18
((-5 * 3 + 5x * 3) + 3x * (-5 + 5x)) = 14x + -18
((-15 + 15x) + 3x * (-5 + 5x)) = 14x + -18
(-15 + 15x + (-5 * 3x + 5x * 3x)) = 14x + -18
(-15 + 15x + (-15x + 15x2)) = 14x + -18

Combine like terms: 15x + -15x = 0
(-15 + 0 + 15x2) = 14x + -18
(-15 + 15x2) = 14x + -18

Reorder the terms:
-15 + 15x2 = -18 + 14x

Solving
-15 + 15x2 = -18 + 14x

Solving for variable 'x'.

Reorder the terms:
-15 + 18 + -14x + 15x2 = -18 + 14x + 18 + -14x

Combine like terms: -15 + 18 = 3
3 + -14x + 15x2 = -18 + 14x + 18 + -14x

Reorder the terms:
3 + -14x + 15x2 = -18 + 18 + 14x + -14x

Combine like terms: -18 + 18 = 0
3 + -14x + 15x2 = 0 + 14x + -14x
3 + -14x + 15x2 = 14x + -14x

Combine like terms: 14x + -14x = 0
3 + -14x + 15x2 = 0

Factor a trinomial.
(1 + -3x)(3 + -5x) = 0

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

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Subproblem 2
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 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 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3

Combine like terms: 0 + -3 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
Solution
x = {0.3333333333, 0.6}