(X^2+10x)(2x+3)=0

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Solution for (X^2+10x)(2x+3)=0 equation: 


Simplifying
(X2 + 10x)(2x + 3) = 0

Reorder the terms:
(X2 + 10x)(3 + 2x) = 0

Multiply (X2 + 10x) * (3 + 2x)
(X2(3 + 2x) + 10x * (3 + 2x)) = 0
((3 * X2 + 2x * X2) + 10x * (3 + 2x)) = 0
((3X2 + 2xX2) + 10x * (3 + 2x)) = 0
(3X2 + 2xX2 + (3 * 10x + 2x * 10x)) = 0
(3X2 + 2xX2 + (30x + 20x2)) = 0

Reorder the terms:
(3X2 + 30x + 2xX2 + 20x2) = 0
(3X2 + 30x + 2xX2 + 20x2) = 0

Solving
3X2 + 30x + 2xX2 + 20x2 = 0

Solving for variable 'X'.

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

Add '-30x' to each side of the equation.
3X2 + 30x + 2xX2 + -30x + 20x2 = 0 + -30x

Reorder the terms:
3X2 + 30x + -30x + 2xX2 + 20x2 = 0 + -30x

Combine like terms: 30x + -30x = 0
3X2 + 0 + 2xX2 + 20x2 = 0 + -30x
3X2 + 2xX2 + 20x2 = 0 + -30x
Remove the zero:
3X2 + 2xX2 + 20x2 = -30x

Add '-20x2' to each side of the equation.
3X2 + 2xX2 + 20x2 + -20x2 = -30x + -20x2

Combine like terms: 20x2 + -20x2 = 0
3X2 + 2xX2 + 0 = -30x + -20x2
3X2 + 2xX2 = -30x + -20x2

Reorder the terms:
3X2 + 30x + 2xX2 + 20x2 = -30x + -20x2 + 30x + 20x2

Reorder the terms:
3X2 + 30x + 2xX2 + 20x2 = -30x + 30x + -20x2 + 20x2

Combine like terms: -30x + 30x = 0
3X2 + 30x + 2xX2 + 20x2 = 0 + -20x2 + 20x2
3X2 + 30x + 2xX2 + 20x2 = -20x2 + 20x2

Combine like terms: -20x2 + 20x2 = 0
3X2 + 30x + 2xX2 + 20x2 = 0

The solution to this equation could not be determined.

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