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

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


Simplifying
(2x + 1)(3x2 + 2x + -3) + 4(x3 + -3x2) = 0

Reorder the terms:
(1 + 2x)(3x2 + 2x + -3) + 4(x3 + -3x2) = 0

Reorder the terms:
(1 + 2x)(-3 + 2x + 3x2) + 4(x3 + -3x2) = 0

Multiply (1 + 2x) * (-3 + 2x + 3x2)
(1(-3 + 2x + 3x2) + 2x * (-3 + 2x + 3x2)) + 4(x3 + -3x2) = 0
((-3 * 1 + 2x * 1 + 3x2 * 1) + 2x * (-3 + 2x + 3x2)) + 4(x3 + -3x2) = 0
((-3 + 2x + 3x2) + 2x * (-3 + 2x + 3x2)) + 4(x3 + -3x2) = 0
(-3 + 2x + 3x2 + (-3 * 2x + 2x * 2x + 3x2 * 2x)) + 4(x3 + -3x2) = 0
(-3 + 2x + 3x2 + (-6x + 4x2 + 6x3)) + 4(x3 + -3x2) = 0

Reorder the terms:
(-3 + 2x + -6x + 3x2 + 4x2 + 6x3) + 4(x3 + -3x2) = 0

Combine like terms: 2x + -6x = -4x
(-3 + -4x + 3x2 + 4x2 + 6x3) + 4(x3 + -3x2) = 0

Combine like terms: 3x2 + 4x2 = 7x2
(-3 + -4x + 7x2 + 6x3) + 4(x3 + -3x2) = 0

Reorder the terms:
-3 + -4x + 7x2 + 6x3 + 4(-3x2 + x3) = 0
-3 + -4x + 7x2 + 6x3 + (-3x2 * 4 + x3 * 4) = 0
-3 + -4x + 7x2 + 6x3 + (-12x2 + 4x3) = 0

Reorder the terms:
-3 + -4x + 7x2 + -12x2 + 6x3 + 4x3 = 0

Combine like terms: 7x2 + -12x2 = -5x2
-3 + -4x + -5x2 + 6x3 + 4x3 = 0

Combine like terms: 6x3 + 4x3 = 10x3
-3 + -4x + -5x2 + 10x3 = 0

Solving
-3 + -4x + -5x2 + 10x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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