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

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


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

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

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

Multiply (-5 + -3x + 5x2) * (6 + 5x + 6x2)
(-5(6 + 5x + 6x2) + -3x * (6 + 5x + 6x2) + 5x2 * (6 + 5x + 6x2)) = 0
((6 * -5 + 5x * -5 + 6x2 * -5) + -3x * (6 + 5x + 6x2) + 5x2 * (6 + 5x + 6x2)) = 0
((-30 + -25x + -30x2) + -3x * (6 + 5x + 6x2) + 5x2 * (6 + 5x + 6x2)) = 0
(-30 + -25x + -30x2 + (6 * -3x + 5x * -3x + 6x2 * -3x) + 5x2 * (6 + 5x + 6x2)) = 0
(-30 + -25x + -30x2 + (-18x + -15x2 + -18x3) + 5x2 * (6 + 5x + 6x2)) = 0
(-30 + -25x + -30x2 + -18x + -15x2 + -18x3 + (6 * 5x2 + 5x * 5x2 + 6x2 * 5x2)) = 0
(-30 + -25x + -30x2 + -18x + -15x2 + -18x3 + (30x2 + 25x3 + 30x4)) = 0

Reorder the terms:
(-30 + -25x + -18x + -30x2 + -15x2 + 30x2 + -18x3 + 25x3 + 30x4) = 0

Combine like terms: -25x + -18x = -43x
(-30 + -43x + -30x2 + -15x2 + 30x2 + -18x3 + 25x3 + 30x4) = 0

Combine like terms: -30x2 + -15x2 = -45x2
(-30 + -43x + -45x2 + 30x2 + -18x3 + 25x3 + 30x4) = 0

Combine like terms: -45x2 + 30x2 = -15x2
(-30 + -43x + -15x2 + -18x3 + 25x3 + 30x4) = 0

Combine like terms: -18x3 + 25x3 = 7x3
(-30 + -43x + -15x2 + 7x3 + 30x4) = 0

Solving
-30 + -43x + -15x2 + 7x3 + 30x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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