6x(2x+3)+4x(5x+3)=

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Solution for 6x(2x+3)+4x(5x+3)= equation: 


Simplifying
6x(2x + 3) + 4x(5x + 3) = 0

Reorder the terms:
6x(3 + 2x) + 4x(5x + 3) = 0
(3 * 6x + 2x * 6x) + 4x(5x + 3) = 0
(18x + 12x2) + 4x(5x + 3) = 0

Reorder the terms:
18x + 12x2 + 4x(3 + 5x) = 0
18x + 12x2 + (3 * 4x + 5x * 4x) = 0
18x + 12x2 + (12x + 20x2) = 0

Reorder the terms:
18x + 12x + 12x2 + 20x2 = 0

Combine like terms: 18x + 12x = 30x
30x + 12x2 + 20x2 = 0

Combine like terms: 12x2 + 20x2 = 32x2
30x + 32x2 = 0

Solving
30x + 32x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(15 + 16x) = 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 '(15 + 16x)' equal to zero and attempt to solve:

Simplifying
15 + 16x = 0

Solving
15 + 16x = 0

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

Add '-15' to each side of the equation.
15 + -15 + 16x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 16x = 0 + -15
16x = 0 + -15

Combine like terms: 0 + -15 = -15
16x = -15

Divide each side by '16'.
x = -0.9375

Simplifying
x = -0.9375
Solution
x = {0, -0.9375}

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