x(3x+4)+x(2x-1)=

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Solution for x(3x+4)+x(2x-1)= equation: 


Simplifying
x(3x + 4) + x(2x + -1) = 0

Reorder the terms:
x(4 + 3x) + x(2x + -1) = 0
(4 * x + 3x * x) + x(2x + -1) = 0
(4x + 3x2) + x(2x + -1) = 0

Reorder the terms:
4x + 3x2 + x(-1 + 2x) = 0
4x + 3x2 + (-1 * x + 2x * x) = 0
4x + 3x2 + (-1x + 2x2) = 0

Reorder the terms:
4x + -1x + 3x2 + 2x2 = 0

Combine like terms: 4x + -1x = 3x
3x + 3x2 + 2x2 = 0

Combine like terms: 3x2 + 2x2 = 5x2
3x + 5x2 = 0

Solving
3x + 5x2 = 0

Solving for variable 'x'.

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

Simplifying
3 + 5x = 0

Solving
3 + 5x = 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 + 5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 0 + -3
5x = 0 + -3

Combine like terms: 0 + -3 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6
Solution
x = {0, -0.6}

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