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

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Solution for (2x-3)(2x-3)(3x+4)=0 equation:


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

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

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

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

Multiply (-3 + 2x) * (-3 + 2x)
(-3(-3 + 2x) + 2x * (-3 + 2x))(4 + 3x) = 0
((-3 * -3 + 2x * -3) + 2x * (-3 + 2x))(4 + 3x) = 0
((9 + -6x) + 2x * (-3 + 2x))(4 + 3x) = 0
(9 + -6x + (-3 * 2x + 2x * 2x))(4 + 3x) = 0
(9 + -6x + (-6x + 4x2))(4 + 3x) = 0

Combine like terms: -6x + -6x = -12x
(9 + -12x + 4x2)(4 + 3x) = 0

Multiply (9 + -12x + 4x2) * (4 + 3x)
(9(4 + 3x) + -12x * (4 + 3x) + 4x2 * (4 + 3x)) = 0
((4 * 9 + 3x * 9) + -12x * (4 + 3x) + 4x2 * (4 + 3x)) = 0
((36 + 27x) + -12x * (4 + 3x) + 4x2 * (4 + 3x)) = 0
(36 + 27x + (4 * -12x + 3x * -12x) + 4x2 * (4 + 3x)) = 0
(36 + 27x + (-48x + -36x2) + 4x2 * (4 + 3x)) = 0
(36 + 27x + -48x + -36x2 + (4 * 4x2 + 3x * 4x2)) = 0
(36 + 27x + -48x + -36x2 + (16x2 + 12x3)) = 0

Combine like terms: 27x + -48x = -21x
(36 + -21x + -36x2 + 16x2 + 12x3) = 0

Combine like terms: -36x2 + 16x2 = -20x2
(36 + -21x + -20x2 + 12x3) = 0

Solving
36 + -21x + -20x2 + 12x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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