(x-2)(x-3)(2x+7)=0

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Solution for (x-2)(x-3)(2x+7)=0 equation:


Simplifying
(x + -2)(x + -3)(2x + 7) = 0

Reorder the terms:
(-2 + x)(x + -3)(2x + 7) = 0

Reorder the terms:
(-2 + x)(-3 + x)(2x + 7) = 0

Reorder the terms:
(-2 + x)(-3 + x)(7 + 2x) = 0

Multiply (-2 + x) * (-3 + x)
(-2(-3 + x) + x(-3 + x))(7 + 2x) = 0
((-3 * -2 + x * -2) + x(-3 + x))(7 + 2x) = 0
((6 + -2x) + x(-3 + x))(7 + 2x) = 0
(6 + -2x + (-3 * x + x * x))(7 + 2x) = 0
(6 + -2x + (-3x + x2))(7 + 2x) = 0

Combine like terms: -2x + -3x = -5x
(6 + -5x + x2)(7 + 2x) = 0

Multiply (6 + -5x + x2) * (7 + 2x)
(6(7 + 2x) + -5x * (7 + 2x) + x2(7 + 2x)) = 0
((7 * 6 + 2x * 6) + -5x * (7 + 2x) + x2(7 + 2x)) = 0
((42 + 12x) + -5x * (7 + 2x) + x2(7 + 2x)) = 0
(42 + 12x + (7 * -5x + 2x * -5x) + x2(7 + 2x)) = 0
(42 + 12x + (-35x + -10x2) + x2(7 + 2x)) = 0
(42 + 12x + -35x + -10x2 + (7 * x2 + 2x * x2)) = 0
(42 + 12x + -35x + -10x2 + (7x2 + 2x3)) = 0

Combine like terms: 12x + -35x = -23x
(42 + -23x + -10x2 + 7x2 + 2x3) = 0

Combine like terms: -10x2 + 7x2 = -3x2
(42 + -23x + -3x2 + 2x3) = 0

Solving
42 + -23x + -3x2 + 2x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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