(-3x+2)(15-3x)=

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Solution for (-3x+2)(15-3x)= equation: 


Simplifying
(-3x + 2)(15 + -3x) = 0

Reorder the terms:
(2 + -3x)(15 + -3x) = 0

Multiply (2 + -3x) * (15 + -3x)
(2(15 + -3x) + -3x * (15 + -3x)) = 0
((15 * 2 + -3x * 2) + -3x * (15 + -3x)) = 0
((30 + -6x) + -3x * (15 + -3x)) = 0
(30 + -6x + (15 * -3x + -3x * -3x)) = 0
(30 + -6x + (-45x + 9x2)) = 0

Combine like terms: -6x + -45x = -51x
(30 + -51x + 9x2) = 0

Solving
30 + -51x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(10 + -17x + 3x2) = 0

Factor a trinomial.
3((2 + -3x)(5 + -1x)) = 0

Ignore the factor 3.

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

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

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

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

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

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {0.6666666667, 5}

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