6(x+3)(x-4)(5x+1)=0

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Solution for 6(x+3)(x-4)(5x+1)=0 equation:


Simplifying
6(x + 3)(x + -4)(5x + 1) = 0

Reorder the terms:
6(3 + x)(x + -4)(5x + 1) = 0

Reorder the terms:
6(3 + x)(-4 + x)(5x + 1) = 0

Reorder the terms:
6(3 + x)(-4 + x)(1 + 5x) = 0

Multiply (3 + x) * (-4 + x)
6(3(-4 + x) + x(-4 + x))(1 + 5x) = 0
6((-4 * 3 + x * 3) + x(-4 + x))(1 + 5x) = 0
6((-12 + 3x) + x(-4 + x))(1 + 5x) = 0
6(-12 + 3x + (-4 * x + x * x))(1 + 5x) = 0
6(-12 + 3x + (-4x + x2))(1 + 5x) = 0

Combine like terms: 3x + -4x = -1x
6(-12 + -1x + x2)(1 + 5x) = 0

Multiply (-12 + -1x + x2) * (1 + 5x)
6(-12(1 + 5x) + -1x * (1 + 5x) + x2(1 + 5x)) = 0
6((1 * -12 + 5x * -12) + -1x * (1 + 5x) + x2(1 + 5x)) = 0
6((-12 + -60x) + -1x * (1 + 5x) + x2(1 + 5x)) = 0
6(-12 + -60x + (1 * -1x + 5x * -1x) + x2(1 + 5x)) = 0
6(-12 + -60x + (-1x + -5x2) + x2(1 + 5x)) = 0
6(-12 + -60x + -1x + -5x2 + (1 * x2 + 5x * x2)) = 0
6(-12 + -60x + -1x + -5x2 + (1x2 + 5x3)) = 0

Combine like terms: -60x + -1x = -61x
6(-12 + -61x + -5x2 + 1x2 + 5x3) = 0

Combine like terms: -5x2 + 1x2 = -4x2
6(-12 + -61x + -4x2 + 5x3) = 0
(-12 * 6 + -61x * 6 + -4x2 * 6 + 5x3 * 6) = 0
(-72 + -366x + -24x2 + 30x3) = 0

Solving
-72 + -366x + -24x2 + 30x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-12 + -61x + -4x2 + 5x3) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-12 + -61x + -4x2 + 5x3)' equal to zero and attempt to solve: Simplifying -12 + -61x + -4x2 + 5x3 = 0 Solving -12 + -61x + -4x2 + 5x3 = 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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