(x+6)(x-5)(3x-7)=0

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Solution for (x+6)(x-5)(3x-7)=0 equation:


Simplifying
(x + 6)(x + -5)(3x + -7) = 0

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

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

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

Multiply (6 + x) * (-5 + x)
(6(-5 + x) + x(-5 + x))(-7 + 3x) = 0
((-5 * 6 + x * 6) + x(-5 + x))(-7 + 3x) = 0
((-30 + 6x) + x(-5 + x))(-7 + 3x) = 0
(-30 + 6x + (-5 * x + x * x))(-7 + 3x) = 0
(-30 + 6x + (-5x + x2))(-7 + 3x) = 0

Combine like terms: 6x + -5x = 1x
(-30 + 1x + x2)(-7 + 3x) = 0

Multiply (-30 + 1x + x2) * (-7 + 3x)
(-30(-7 + 3x) + 1x * (-7 + 3x) + x2(-7 + 3x)) = 0
((-7 * -30 + 3x * -30) + 1x * (-7 + 3x) + x2(-7 + 3x)) = 0
((210 + -90x) + 1x * (-7 + 3x) + x2(-7 + 3x)) = 0
(210 + -90x + (-7 * 1x + 3x * 1x) + x2(-7 + 3x)) = 0
(210 + -90x + (-7x + 3x2) + x2(-7 + 3x)) = 0
(210 + -90x + -7x + 3x2 + (-7 * x2 + 3x * x2)) = 0
(210 + -90x + -7x + 3x2 + (-7x2 + 3x3)) = 0

Combine like terms: -90x + -7x = -97x
(210 + -97x + 3x2 + -7x2 + 3x3) = 0

Combine like terms: 3x2 + -7x2 = -4x2
(210 + -97x + -4x2 + 3x3) = 0

Solving
210 + -97x + -4x2 + 3x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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