(3x+5)(5x^2-6x+1)=0

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Solution for (3x+5)(5x^2-6x+1)=0 equation:


Simplifying
(3x + 5)(5x2 + -6x + 1) = 0

Reorder the terms:
(5 + 3x)(5x2 + -6x + 1) = 0

Reorder the terms:
(5 + 3x)(1 + -6x + 5x2) = 0

Multiply (5 + 3x) * (1 + -6x + 5x2)
(5(1 + -6x + 5x2) + 3x * (1 + -6x + 5x2)) = 0
((1 * 5 + -6x * 5 + 5x2 * 5) + 3x * (1 + -6x + 5x2)) = 0
((5 + -30x + 25x2) + 3x * (1 + -6x + 5x2)) = 0
(5 + -30x + 25x2 + (1 * 3x + -6x * 3x + 5x2 * 3x)) = 0
(5 + -30x + 25x2 + (3x + -18x2 + 15x3)) = 0

Reorder the terms:
(5 + -30x + 3x + 25x2 + -18x2 + 15x3) = 0

Combine like terms: -30x + 3x = -27x
(5 + -27x + 25x2 + -18x2 + 15x3) = 0

Combine like terms: 25x2 + -18x2 = 7x2
(5 + -27x + 7x2 + 15x3) = 0

Solving
5 + -27x + 7x2 + 15x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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