103x(x-15)(3x+2)=0

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Solution for 103x(x-15)(3x+2)=0 equation: 


Simplifying
103x(x + -15)(3x + 2) = 0

Reorder the terms:
103x(-15 + x)(3x + 2) = 0

Reorder the terms:
103x(-15 + x)(2 + 3x) = 0

Multiply (-15 + x) * (2 + 3x)
103x(-15(2 + 3x) + x(2 + 3x)) = 0
103x((2 * -15 + 3x * -15) + x(2 + 3x)) = 0
103x((-30 + -45x) + x(2 + 3x)) = 0
103x(-30 + -45x + (2 * x + 3x * x)) = 0
103x(-30 + -45x + (2x + 3x2)) = 0

Combine like terms: -45x + 2x = -43x
103x(-30 + -43x + 3x2) = 0
(-30 * 103x + -43x * 103x + 3x2 * 103x) = 0
(-3090x + -4429x2 + 309x3) = 0

Solving
-3090x + -4429x2 + 309x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '103x'.
103x(-30 + -43x + 3x2) = 0

Factor a trinomial.
103x((-2 + -3x)(15 + -1x)) = 0

Ignore the factor 103.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
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 3
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {0, -0.6666666667, 15}

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