(3x^2+5x)(2x-3)=6x^3+x^2-15x

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Solution for (3x^2+5x)(2x-3)=6x^3+x^2-15x equation: 


Simplifying
(3x2 + 5x)(2x + -3) = 6x3 + x2 + -15x

Reorder the terms:
(5x + 3x2)(2x + -3) = 6x3 + x2 + -15x

Reorder the terms:
(5x + 3x2)(-3 + 2x) = 6x3 + x2 + -15x

Multiply (5x + 3x2) * (-3 + 2x)
(5x * (-3 + 2x) + 3x2 * (-3 + 2x)) = 6x3 + x2 + -15x
((-3 * 5x + 2x * 5x) + 3x2 * (-3 + 2x)) = 6x3 + x2 + -15x
((-15x + 10x2) + 3x2 * (-3 + 2x)) = 6x3 + x2 + -15x
(-15x + 10x2 + (-3 * 3x2 + 2x * 3x2)) = 6x3 + x2 + -15x
(-15x + 10x2 + (-9x2 + 6x3)) = 6x3 + x2 + -15x

Combine like terms: 10x2 + -9x2 = 1x2
(-15x + 1x2 + 6x3) = 6x3 + x2 + -15x

Reorder the terms:
-15x + 1x2 + 6x3 = -15x + x2 + 6x3

Add '15x' to each side of the equation.
-15x + 1x2 + 15x + 6x3 = -15x + x2 + 15x + 6x3

Reorder the terms:
-15x + 15x + 1x2 + 6x3 = -15x + x2 + 15x + 6x3

Combine like terms: -15x + 15x = 0
0 + 1x2 + 6x3 = -15x + x2 + 15x + 6x3
1x2 + 6x3 = -15x + x2 + 15x + 6x3

Reorder the terms:
1x2 + 6x3 = -15x + 15x + x2 + 6x3

Combine like terms: -15x + 15x = 0
1x2 + 6x3 = 0 + x2 + 6x3
1x2 + 6x3 = x2 + 6x3

Add '-6x3' to each side of the equation.
1x2 + 6x3 + -6x3 = x2 + 6x3 + -6x3

Combine like terms: 6x3 + -6x3 = 0
1x2 + 0 = x2 + 6x3 + -6x3
1x2 = x2 + 6x3 + -6x3

Combine like terms: 6x3 + -6x3 = 0
1x2 = x2 + 0
1x2 = x2

Solving
1x2 = x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
1x2 + -1x2 = x2 + -1x2

Combine like terms: 1x2 + -1x2 = 0
0 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 0

Simplifying
0 = 0

The solution to this equation could not be determined.

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