(x-7)(x+9)(3x+8)(5x-4)=0

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Solution for (x-7)(x+9)(3x+8)(5x-4)=0 equation:


Simplifying
(x + -7)(x + 9)(3x + 8)(5x + -4) = 0

Reorder the terms:
(-7 + x)(x + 9)(3x + 8)(5x + -4) = 0

Reorder the terms:
(-7 + x)(9 + x)(3x + 8)(5x + -4) = 0

Reorder the terms:
(-7 + x)(9 + x)(8 + 3x)(5x + -4) = 0

Reorder the terms:
(-7 + x)(9 + x)(8 + 3x)(-4 + 5x) = 0

Multiply (-7 + x) * (9 + x)
(-7(9 + x) + x(9 + x))(8 + 3x)(-4 + 5x) = 0
((9 * -7 + x * -7) + x(9 + x))(8 + 3x)(-4 + 5x) = 0
((-63 + -7x) + x(9 + x))(8 + 3x)(-4 + 5x) = 0
(-63 + -7x + (9 * x + x * x))(8 + 3x)(-4 + 5x) = 0
(-63 + -7x + (9x + x2))(8 + 3x)(-4 + 5x) = 0

Combine like terms: -7x + 9x = 2x
(-63 + 2x + x2)(8 + 3x)(-4 + 5x) = 0

Multiply (-63 + 2x + x2) * (8 + 3x)
(-63(8 + 3x) + 2x * (8 + 3x) + x2(8 + 3x))(-4 + 5x) = 0
((8 * -63 + 3x * -63) + 2x * (8 + 3x) + x2(8 + 3x))(-4 + 5x) = 0
((-504 + -189x) + 2x * (8 + 3x) + x2(8 + 3x))(-4 + 5x) = 0
(-504 + -189x + (8 * 2x + 3x * 2x) + x2(8 + 3x))(-4 + 5x) = 0
(-504 + -189x + (16x + 6x2) + x2(8 + 3x))(-4 + 5x) = 0
(-504 + -189x + 16x + 6x2 + (8 * x2 + 3x * x2))(-4 + 5x) = 0
(-504 + -189x + 16x + 6x2 + (8x2 + 3x3))(-4 + 5x) = 0

Combine like terms: -189x + 16x = -173x
(-504 + -173x + 6x2 + 8x2 + 3x3)(-4 + 5x) = 0

Combine like terms: 6x2 + 8x2 = 14x2
(-504 + -173x + 14x2 + 3x3)(-4 + 5x) = 0

Multiply (-504 + -173x + 14x2 + 3x3) * (-4 + 5x)
(-504(-4 + 5x) + -173x * (-4 + 5x) + 14x2 * (-4 + 5x) + 3x3 * (-4 + 5x)) = 0
((-4 * -504 + 5x * -504) + -173x * (-4 + 5x) + 14x2 * (-4 + 5x) + 3x3 * (-4 + 5x)) = 0
((2016 + -2520x) + -173x * (-4 + 5x) + 14x2 * (-4 + 5x) + 3x3 * (-4 + 5x)) = 0
(2016 + -2520x + (-4 * -173x + 5x * -173x) + 14x2 * (-4 + 5x) + 3x3 * (-4 + 5x)) = 0
(2016 + -2520x + (692x + -865x2) + 14x2 * (-4 + 5x) + 3x3 * (-4 + 5x)) = 0
(2016 + -2520x + 692x + -865x2 + (-4 * 14x2 + 5x * 14x2) + 3x3 * (-4 + 5x)) = 0
(2016 + -2520x + 692x + -865x2 + (-56x2 + 70x3) + 3x3 * (-4 + 5x)) = 0
(2016 + -2520x + 692x + -865x2 + -56x2 + 70x3 + (-4 * 3x3 + 5x * 3x3)) = 0
(2016 + -2520x + 692x + -865x2 + -56x2 + 70x3 + (-12x3 + 15x4)) = 0

Combine like terms: -2520x + 692x = -1828x
(2016 + -1828x + -865x2 + -56x2 + 70x3 + -12x3 + 15x4) = 0

Combine like terms: -865x2 + -56x2 = -921x2
(2016 + -1828x + -921x2 + 70x3 + -12x3 + 15x4) = 0

Combine like terms: 70x3 + -12x3 = 58x3
(2016 + -1828x + -921x2 + 58x3 + 15x4) = 0

Solving
2016 + -1828x + -921x2 + 58x3 + 15x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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