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

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


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

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

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

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

Multiply (5 + x) * (-7 + x)
3(5(-7 + x) + x(-7 + x))(-9 + 4x) = 0
3((-7 * 5 + x * 5) + x(-7 + x))(-9 + 4x) = 0
3((-35 + 5x) + x(-7 + x))(-9 + 4x) = 0
3(-35 + 5x + (-7 * x + x * x))(-9 + 4x) = 0
3(-35 + 5x + (-7x + x2))(-9 + 4x) = 0

Combine like terms: 5x + -7x = -2x
3(-35 + -2x + x2)(-9 + 4x) = 0

Multiply (-35 + -2x + x2) * (-9 + 4x)
3(-35(-9 + 4x) + -2x * (-9 + 4x) + x2(-9 + 4x)) = 0
3((-9 * -35 + 4x * -35) + -2x * (-9 + 4x) + x2(-9 + 4x)) = 0
3((315 + -140x) + -2x * (-9 + 4x) + x2(-9 + 4x)) = 0
3(315 + -140x + (-9 * -2x + 4x * -2x) + x2(-9 + 4x)) = 0
3(315 + -140x + (18x + -8x2) + x2(-9 + 4x)) = 0
3(315 + -140x + 18x + -8x2 + (-9 * x2 + 4x * x2)) = 0
3(315 + -140x + 18x + -8x2 + (-9x2 + 4x3)) = 0

Combine like terms: -140x + 18x = -122x
3(315 + -122x + -8x2 + -9x2 + 4x3) = 0

Combine like terms: -8x2 + -9x2 = -17x2
3(315 + -122x + -17x2 + 4x3) = 0
(315 * 3 + -122x * 3 + -17x2 * 3 + 4x3 * 3) = 0
(945 + -366x + -51x2 + 12x3) = 0

Solving
945 + -366x + -51x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(315 + -122x + -17x2 + 4x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(315 + -122x + -17x2 + 4x3)' equal to zero and attempt to solve:

Simplifying
315 + -122x + -17x2 + 4x3 = 0

Solving
315 + -122x + -17x2 + 4x3 = 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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