(4x+12)(5x-15)(7x+21)=0

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Solution for (4x+12)(5x-15)(7x+21)=0 equation:


Simplifying
(4x + 12)(5x + -15)(7x + 21) = 0

Reorder the terms:
(12 + 4x)(5x + -15)(7x + 21) = 0

Reorder the terms:
(12 + 4x)(-15 + 5x)(7x + 21) = 0

Reorder the terms:
(12 + 4x)(-15 + 5x)(21 + 7x) = 0

Multiply (12 + 4x) * (-15 + 5x)
(12(-15 + 5x) + 4x * (-15 + 5x))(21 + 7x) = 0
((-15 * 12 + 5x * 12) + 4x * (-15 + 5x))(21 + 7x) = 0
((-180 + 60x) + 4x * (-15 + 5x))(21 + 7x) = 0
(-180 + 60x + (-15 * 4x + 5x * 4x))(21 + 7x) = 0
(-180 + 60x + (-60x + 20x2))(21 + 7x) = 0

Combine like terms: 60x + -60x = 0
(-180 + 0 + 20x2)(21 + 7x) = 0
(-180 + 20x2)(21 + 7x) = 0

Multiply (-180 + 20x2) * (21 + 7x)
(-180(21 + 7x) + 20x2 * (21 + 7x)) = 0
((21 * -180 + 7x * -180) + 20x2 * (21 + 7x)) = 0
((-3780 + -1260x) + 20x2 * (21 + 7x)) = 0
(-3780 + -1260x + (21 * 20x2 + 7x * 20x2)) = 0
(-3780 + -1260x + (420x2 + 140x3)) = 0
(-3780 + -1260x + 420x2 + 140x3) = 0

Solving
-3780 + -1260x + 420x2 + 140x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '140'.
140(-27 + -9x + 3x2 + x3) = 0

Ignore the factor 140.

Subproblem 1

Set the factor '(-27 + -9x + 3x2 + x3)' equal to zero and attempt to solve: Simplifying -27 + -9x + 3x2 + x3 = 0 Solving -27 + -9x + 3x2 + x3 = 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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