2x(2x+1)(x+30)=0

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Solution for 2x(2x+1)(x+30)=0 equation:


Simplifying
2x(2x + 1)(x + 30) = 0

Reorder the terms:
2x(1 + 2x)(x + 30) = 0

Reorder the terms:
2x(1 + 2x)(30 + x) = 0

Multiply (1 + 2x) * (30 + x)
2x(1(30 + x) + 2x * (30 + x)) = 0
2x((30 * 1 + x * 1) + 2x * (30 + x)) = 0
2x((30 + 1x) + 2x * (30 + x)) = 0
2x(30 + 1x + (30 * 2x + x * 2x)) = 0
2x(30 + 1x + (60x + 2x2)) = 0

Combine like terms: 1x + 60x = 61x
2x(30 + 61x + 2x2) = 0
(30 * 2x + 61x * 2x + 2x2 * 2x) = 0
(60x + 122x2 + 4x3) = 0

Solving
60x + 122x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(30 + 61x + 2x2) = 0

Factor a trinomial.
2x((30 + x)(1 + 2x)) = 0

Ignore the factor 2.

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

Simplifying
30 + x = 0

Solving
30 + x = 0

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

Add '-30' to each side of the equation.
30 + -30 + x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + x = 0 + -30
x = 0 + -30

Combine like terms: 0 + -30 = -30
x = -30

Simplifying
x = -30

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {0, -30, -0.5}

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