3(5x+1)(3x-1)=

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Solution for 3(5x+1)(3x-1)= equation: 


Simplifying
3(5x + 1)(3x + -1) = 0

Reorder the terms:
3(1 + 5x)(3x + -1) = 0

Reorder the terms:
3(1 + 5x)(-1 + 3x) = 0

Multiply (1 + 5x) * (-1 + 3x)
3(1(-1 + 3x) + 5x * (-1 + 3x)) = 0
3((-1 * 1 + 3x * 1) + 5x * (-1 + 3x)) = 0
3((-1 + 3x) + 5x * (-1 + 3x)) = 0
3(-1 + 3x + (-1 * 5x + 3x * 5x)) = 0
3(-1 + 3x + (-5x + 15x2)) = 0

Combine like terms: 3x + -5x = -2x
3(-1 + -2x + 15x2) = 0
(-1 * 3 + -2x * 3 + 15x2 * 3) = 0
(-3 + -6x + 45x2) = 0

Solving
-3 + -6x + 45x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + -2x + 15x2) = 0

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

Ignore the factor 3.

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

Simplifying
-1 + -5x = 0

Solving
-1 + -5x = 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 + -5x = 0 + 1

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

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

Divide each side by '-5'.
x = -0.2

Simplifying
x = -0.2

Subproblem 2
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
Solution
x = {-0.2, 0.3333333333}

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