(8-3x)(15+3x)=0

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Solution for (8-3x)(15+3x)=0 equation: 


Simplifying
(8 + -3x)(15 + 3x) = 0

Multiply (8 + -3x) * (15 + 3x)
(8(15 + 3x) + -3x * (15 + 3x)) = 0
((15 * 8 + 3x * 8) + -3x * (15 + 3x)) = 0
((120 + 24x) + -3x * (15 + 3x)) = 0
(120 + 24x + (15 * -3x + 3x * -3x)) = 0
(120 + 24x + (-45x + -9x2)) = 0

Combine like terms: 24x + -45x = -21x
(120 + -21x + -9x2) = 0

Solving
120 + -21x + -9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(40 + -7x + -3x2) = 0

Factor a trinomial.
3((8 + -3x)(5 + x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667

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

Simplifying
5 + x = 0

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

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

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

Simplifying
x = -5
Solution
x = {2.666666667, -5}

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