(3x+5)(2y-20)(4x-30)=

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Solution for (3x+5)(2y-20)(4x-30)= equation:


Simplifying
(3x + 5)(2y + -20)(4x + -30) = 0

Reorder the terms:
(5 + 3x)(2y + -20)(4x + -30) = 0

Reorder the terms:
(5 + 3x)(-20 + 2y)(4x + -30) = 0

Reorder the terms:
(5 + 3x)(-20 + 2y)(-30 + 4x) = 0

Multiply (5 + 3x) * (-20 + 2y)
(5(-20 + 2y) + 3x * (-20 + 2y))(-30 + 4x) = 0
((-20 * 5 + 2y * 5) + 3x * (-20 + 2y))(-30 + 4x) = 0
((-100 + 10y) + 3x * (-20 + 2y))(-30 + 4x) = 0
(-100 + 10y + (-20 * 3x + 2y * 3x))(-30 + 4x) = 0
(-100 + 10y + (-60x + 6xy))(-30 + 4x) = 0

Reorder the terms:
(-100 + -60x + 6xy + 10y)(-30 + 4x) = 0
(-100 + -60x + 6xy + 10y)(-30 + 4x) = 0

Multiply (-100 + -60x + 6xy + 10y) * (-30 + 4x)
(-100(-30 + 4x) + -60x * (-30 + 4x) + 6xy * (-30 + 4x) + 10y * (-30 + 4x)) = 0
((-30 * -100 + 4x * -100) + -60x * (-30 + 4x) + 6xy * (-30 + 4x) + 10y * (-30 + 4x)) = 0
((3000 + -400x) + -60x * (-30 + 4x) + 6xy * (-30 + 4x) + 10y * (-30 + 4x)) = 0
(3000 + -400x + (-30 * -60x + 4x * -60x) + 6xy * (-30 + 4x) + 10y * (-30 + 4x)) = 0
(3000 + -400x + (1800x + -240x2) + 6xy * (-30 + 4x) + 10y * (-30 + 4x)) = 0
(3000 + -400x + 1800x + -240x2 + (-30 * 6xy + 4x * 6xy) + 10y * (-30 + 4x)) = 0
(3000 + -400x + 1800x + -240x2 + (-180xy + 24x2y) + 10y * (-30 + 4x)) = 0
(3000 + -400x + 1800x + -240x2 + -180xy + 24x2y + (-30 * 10y + 4x * 10y)) = 0

Reorder the terms:
(3000 + -400x + 1800x + -240x2 + -180xy + 24x2y + (40xy + -300y)) = 0
(3000 + -400x + 1800x + -240x2 + -180xy + 24x2y + (40xy + -300y)) = 0

Reorder the terms:
(3000 + -400x + 1800x + -180xy + 40xy + -240x2 + 24x2y + -300y) = 0

Combine like terms: -400x + 1800x = 1400x
(3000 + 1400x + -180xy + 40xy + -240x2 + 24x2y + -300y) = 0

Combine like terms: -180xy + 40xy = -140xy
(3000 + 1400x + -140xy + -240x2 + 24x2y + -300y) = 0

Solving
3000 + 1400x + -140xy + -240x2 + 24x2y + -300y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(750 + 350x + -35xy + -60x2 + 6x2y + -75y) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(750 + 350x + -35xy + -60x2 + 6x2y + -75y)' equal to zero and attempt to solve: Simplifying 750 + 350x + -35xy + -60x2 + 6x2y + -75y = 0 Solving 750 + 350x + -35xy + -60x2 + 6x2y + -75y = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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