(6x^2+9)(7x+2x-9)=0

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Solution for (6x^2+9)(7x+2x-9)=0 equation:


Simplifying
(6x2 + 9)(7x + 2x + -9) = 0

Reorder the terms:
(9 + 6x2)(7x + 2x + -9) = 0

Reorder the terms:
(9 + 6x2)(-9 + 7x + 2x) = 0

Combine like terms: 7x + 2x = 9x
(9 + 6x2)(-9 + 9x) = 0

Multiply (9 + 6x2) * (-9 + 9x)
(9(-9 + 9x) + 6x2 * (-9 + 9x)) = 0
((-9 * 9 + 9x * 9) + 6x2 * (-9 + 9x)) = 0
((-81 + 81x) + 6x2 * (-9 + 9x)) = 0
(-81 + 81x + (-9 * 6x2 + 9x * 6x2)) = 0
(-81 + 81x + (-54x2 + 54x3)) = 0
(-81 + 81x + -54x2 + 54x3) = 0

Solving
-81 + 81x + -54x2 + 54x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '27'.
27(-3 + 3x + -2x2 + 2x3) = 0

Ignore the factor 27.

Subproblem 1

Set the factor '(-3 + 3x + -2x2 + 2x3)' equal to zero and attempt to solve: Simplifying -3 + 3x + -2x2 + 2x3 = 0 Solving -3 + 3x + -2x2 + 2x3 = 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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