(4x-5)(x-3)(x+7)=0

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Solution for (4x-5)(x-3)(x+7)=0 equation:


Simplifying
(4x + -5)(x + -3)(x + 7) = 0

Reorder the terms:
(-5 + 4x)(x + -3)(x + 7) = 0

Reorder the terms:
(-5 + 4x)(-3 + x)(x + 7) = 0

Reorder the terms:
(-5 + 4x)(-3 + x)(7 + x) = 0

Multiply (-5 + 4x) * (-3 + x)
(-5(-3 + x) + 4x * (-3 + x))(7 + x) = 0
((-3 * -5 + x * -5) + 4x * (-3 + x))(7 + x) = 0
((15 + -5x) + 4x * (-3 + x))(7 + x) = 0
(15 + -5x + (-3 * 4x + x * 4x))(7 + x) = 0
(15 + -5x + (-12x + 4x2))(7 + x) = 0

Combine like terms: -5x + -12x = -17x
(15 + -17x + 4x2)(7 + x) = 0

Multiply (15 + -17x + 4x2) * (7 + x)
(15(7 + x) + -17x * (7 + x) + 4x2 * (7 + x)) = 0
((7 * 15 + x * 15) + -17x * (7 + x) + 4x2 * (7 + x)) = 0
((105 + 15x) + -17x * (7 + x) + 4x2 * (7 + x)) = 0
(105 + 15x + (7 * -17x + x * -17x) + 4x2 * (7 + x)) = 0
(105 + 15x + (-119x + -17x2) + 4x2 * (7 + x)) = 0
(105 + 15x + -119x + -17x2 + (7 * 4x2 + x * 4x2)) = 0
(105 + 15x + -119x + -17x2 + (28x2 + 4x3)) = 0

Combine like terms: 15x + -119x = -104x
(105 + -104x + -17x2 + 28x2 + 4x3) = 0

Combine like terms: -17x2 + 28x2 = 11x2
(105 + -104x + 11x2 + 4x3) = 0

Solving
105 + -104x + 11x2 + 4x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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