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

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


Simplifying
(x + -4)(5 + -1x)(5x + -3)(7 + 5x) = 0

Reorder the terms:
(-4 + x)(5 + -1x)(5x + -3)(7 + 5x) = 0

Reorder the terms:
(-4 + x)(5 + -1x)(-3 + 5x)(7 + 5x) = 0

Multiply (-4 + x) * (5 + -1x)
(-4(5 + -1x) + x(5 + -1x))(-3 + 5x)(7 + 5x) = 0
((5 * -4 + -1x * -4) + x(5 + -1x))(-3 + 5x)(7 + 5x) = 0
((-20 + 4x) + x(5 + -1x))(-3 + 5x)(7 + 5x) = 0
(-20 + 4x + (5 * x + -1x * x))(-3 + 5x)(7 + 5x) = 0
(-20 + 4x + (5x + -1x2))(-3 + 5x)(7 + 5x) = 0

Combine like terms: 4x + 5x = 9x
(-20 + 9x + -1x2)(-3 + 5x)(7 + 5x) = 0

Multiply (-20 + 9x + -1x2) * (-3 + 5x)
(-20(-3 + 5x) + 9x * (-3 + 5x) + -1x2 * (-3 + 5x))(7 + 5x) = 0
((-3 * -20 + 5x * -20) + 9x * (-3 + 5x) + -1x2 * (-3 + 5x))(7 + 5x) = 0
((60 + -100x) + 9x * (-3 + 5x) + -1x2 * (-3 + 5x))(7 + 5x) = 0
(60 + -100x + (-3 * 9x + 5x * 9x) + -1x2 * (-3 + 5x))(7 + 5x) = 0
(60 + -100x + (-27x + 45x2) + -1x2 * (-3 + 5x))(7 + 5x) = 0
(60 + -100x + -27x + 45x2 + (-3 * -1x2 + 5x * -1x2))(7 + 5x) = 0
(60 + -100x + -27x + 45x2 + (3x2 + -5x3))(7 + 5x) = 0

Combine like terms: -100x + -27x = -127x
(60 + -127x + 45x2 + 3x2 + -5x3)(7 + 5x) = 0

Combine like terms: 45x2 + 3x2 = 48x2
(60 + -127x + 48x2 + -5x3)(7 + 5x) = 0

Multiply (60 + -127x + 48x2 + -5x3) * (7 + 5x)
(60(7 + 5x) + -127x * (7 + 5x) + 48x2 * (7 + 5x) + -5x3 * (7 + 5x)) = 0
((7 * 60 + 5x * 60) + -127x * (7 + 5x) + 48x2 * (7 + 5x) + -5x3 * (7 + 5x)) = 0
((420 + 300x) + -127x * (7 + 5x) + 48x2 * (7 + 5x) + -5x3 * (7 + 5x)) = 0
(420 + 300x + (7 * -127x + 5x * -127x) + 48x2 * (7 + 5x) + -5x3 * (7 + 5x)) = 0
(420 + 300x + (-889x + -635x2) + 48x2 * (7 + 5x) + -5x3 * (7 + 5x)) = 0
(420 + 300x + -889x + -635x2 + (7 * 48x2 + 5x * 48x2) + -5x3 * (7 + 5x)) = 0
(420 + 300x + -889x + -635x2 + (336x2 + 240x3) + -5x3 * (7 + 5x)) = 0
(420 + 300x + -889x + -635x2 + 336x2 + 240x3 + (7 * -5x3 + 5x * -5x3)) = 0
(420 + 300x + -889x + -635x2 + 336x2 + 240x3 + (-35x3 + -25x4)) = 0

Combine like terms: 300x + -889x = -589x
(420 + -589x + -635x2 + 336x2 + 240x3 + -35x3 + -25x4) = 0

Combine like terms: -635x2 + 336x2 = -299x2
(420 + -589x + -299x2 + 240x3 + -35x3 + -25x4) = 0

Combine like terms: 240x3 + -35x3 = 205x3
(420 + -589x + -299x2 + 205x3 + -25x4) = 0

Solving
420 + -589x + -299x2 + 205x3 + -25x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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