(3x^2+5x+9)(6x-8)=

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Solution for (3x^2+5x+9)(6x-8)= equation:


Simplifying
(3x2 + 5x + 9)(6x + -8) = 0

Reorder the terms:
(9 + 5x + 3x2)(6x + -8) = 0

Reorder the terms:
(9 + 5x + 3x2)(-8 + 6x) = 0

Multiply (9 + 5x + 3x2) * (-8 + 6x)
(9(-8 + 6x) + 5x * (-8 + 6x) + 3x2 * (-8 + 6x)) = 0
((-8 * 9 + 6x * 9) + 5x * (-8 + 6x) + 3x2 * (-8 + 6x)) = 0
((-72 + 54x) + 5x * (-8 + 6x) + 3x2 * (-8 + 6x)) = 0
(-72 + 54x + (-8 * 5x + 6x * 5x) + 3x2 * (-8 + 6x)) = 0
(-72 + 54x + (-40x + 30x2) + 3x2 * (-8 + 6x)) = 0
(-72 + 54x + -40x + 30x2 + (-8 * 3x2 + 6x * 3x2)) = 0
(-72 + 54x + -40x + 30x2 + (-24x2 + 18x3)) = 0

Combine like terms: 54x + -40x = 14x
(-72 + 14x + 30x2 + -24x2 + 18x3) = 0

Combine like terms: 30x2 + -24x2 = 6x2
(-72 + 14x + 6x2 + 18x3) = 0

Solving
-72 + 14x + 6x2 + 18x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-36 + 7x + 3x2 + 9x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-36 + 7x + 3x2 + 9x3)' equal to zero and attempt to solve: Simplifying -36 + 7x + 3x2 + 9x3 = 0 Solving -36 + 7x + 3x2 + 9x3 = 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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