2x(2x)+3x=0

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


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

Remove parenthesis around (2x)
2x * 2x + 3x = 0

Reorder the terms for easier multiplication:
2 * 2x * x + 3x = 0

Multiply 2 * 2
4x * x + 3x = 0

Multiply x * x
4x2 + 3x = 0

Reorder the terms:
3x + 4x2 = 0

Solving
3x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + 4x) = 0


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 '(3 + 4x)' equal to zero and attempt to solve:

Simplifying
3 + 4x = 0

Solving
3 + 4x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 0 + -3
4x = 0 + -3

Combine like terms: 0 + -3 = -3
4x = -3

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75
Solution
x = {0, -0.75}

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