(6x+5)(3x^2-20-7)=0

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Solution for (6x+5)(3x^2-20-7)=0 equation:


Simplifying
(6x + 5)(3x2 + -20 + -7) = 0

Reorder the terms:
(5 + 6x)(3x2 + -20 + -7) = 0

Reorder the terms:
(5 + 6x)(-20 + -7 + 3x2) = 0

Combine like terms: -20 + -7 = -27
(5 + 6x)(-27 + 3x2) = 0

Multiply (5 + 6x) * (-27 + 3x2)
(5(-27 + 3x2) + 6x * (-27 + 3x2)) = 0
((-27 * 5 + 3x2 * 5) + 6x * (-27 + 3x2)) = 0
((-135 + 15x2) + 6x * (-27 + 3x2)) = 0
(-135 + 15x2 + (-27 * 6x + 3x2 * 6x)) = 0
(-135 + 15x2 + (-162x + 18x3)) = 0

Reorder the terms:
(-135 + -162x + 15x2 + 18x3) = 0
(-135 + -162x + 15x2 + 18x3) = 0

Solving
-135 + -162x + 15x2 + 18x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-45 + -54x + 5x2 + 6x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-45 + -54x + 5x2 + 6x3)' equal to zero and attempt to solve: Simplifying -45 + -54x + 5x2 + 6x3 = 0 Solving -45 + -54x + 5x2 + 6x3 = 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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