6x(0.5+3x)-15x^2=0

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Solution for 6x(0.5+3x)-15x^2=0 equation: 


Simplifying
6x(0.5 + 3x) + -15x2 = 0
(0.5 * 6x + 3x * 6x) + -15x2 = 0
(3x + 18x2) + -15x2 = 0

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

Solving
3x + 3x2 = 0

Solving for variable 'x'.

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

Ignore the factor 3.

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 '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {0, -1}

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