0=-3x(2x+5)

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Solution for 0=-3x(2x+5) equation:


Simplifying
0 = -3x(2x + 5)

Reorder the terms:
0 = -3x(5 + 2x)
0 = (5 * -3x + 2x * -3x)
0 = (-15x + -6x2)

Solving
0 = -15x + -6x2

Solving for variable 'x'.
Remove the zero:
15x + 6x2 = -15x + -6x2 + 15x + 6x2

Reorder the terms:
15x + 6x2 = -15x + 15x + -6x2 + 6x2

Combine like terms: -15x + 15x = 0
15x + 6x2 = 0 + -6x2 + 6x2
15x + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
15x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(5 + 2x) = 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 '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {0, -2.5}

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