(5x+6)(x^2+x-6)=0

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


Simplifying
(5x + 6)(x2 + x + -6) = 0

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

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

Multiply (6 + 5x) * (-6 + x + x2)
(6(-6 + x + x2) + 5x * (-6 + x + x2)) = 0
((-6 * 6 + x * 6 + x2 * 6) + 5x * (-6 + x + x2)) = 0
((-36 + 6x + 6x2) + 5x * (-6 + x + x2)) = 0
(-36 + 6x + 6x2 + (-6 * 5x + x * 5x + x2 * 5x)) = 0
(-36 + 6x + 6x2 + (-30x + 5x2 + 5x3)) = 0

Reorder the terms:
(-36 + 6x + -30x + 6x2 + 5x2 + 5x3) = 0

Combine like terms: 6x + -30x = -24x
(-36 + -24x + 6x2 + 5x2 + 5x3) = 0

Combine like terms: 6x2 + 5x2 = 11x2
(-36 + -24x + 11x2 + 5x3) = 0

Solving
-36 + -24x + 11x2 + 5x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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