5x(4x+3)+4x^2=0

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Solution for 5x(4x+3)+4x^2=0 equation: 


Simplifying
5x(4x + 3) + 4x2 = 0

Reorder the terms:
5x(3 + 4x) + 4x2 = 0
(3 * 5x + 4x * 5x) + 4x2 = 0
(15x + 20x2) + 4x2 = 0

Combine like terms: 20x2 + 4x2 = 24x2
15x + 24x2 = 0

Solving
15x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(5 + 8x) = 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 + 8x)' equal to zero and attempt to solve:

Simplifying
5 + 8x = 0

Solving
5 + 8x = 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 + 8x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 8x = 0 + -5
8x = 0 + -5

Combine like terms: 0 + -5 = -5
8x = -5

Divide each side by '8'.
x = -0.625

Simplifying
x = -0.625
Solution
x = {0, -0.625}

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