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

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


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

Reorder the terms:
(3 + x)(x + -6)(5x + -2) = 0

Reorder the terms:
(3 + x)(-6 + x)(5x + -2) = 0

Reorder the terms:
(3 + x)(-6 + x)(-2 + 5x) = 0

Multiply (3 + x) * (-6 + x)
(3(-6 + x) + x(-6 + x))(-2 + 5x) = 0
((-6 * 3 + x * 3) + x(-6 + x))(-2 + 5x) = 0
((-18 + 3x) + x(-6 + x))(-2 + 5x) = 0
(-18 + 3x + (-6 * x + x * x))(-2 + 5x) = 0
(-18 + 3x + (-6x + x2))(-2 + 5x) = 0

Combine like terms: 3x + -6x = -3x
(-18 + -3x + x2)(-2 + 5x) = 0

Multiply (-18 + -3x + x2) * (-2 + 5x)
(-18(-2 + 5x) + -3x * (-2 + 5x) + x2(-2 + 5x)) = 0
((-2 * -18 + 5x * -18) + -3x * (-2 + 5x) + x2(-2 + 5x)) = 0
((36 + -90x) + -3x * (-2 + 5x) + x2(-2 + 5x)) = 0
(36 + -90x + (-2 * -3x + 5x * -3x) + x2(-2 + 5x)) = 0
(36 + -90x + (6x + -15x2) + x2(-2 + 5x)) = 0
(36 + -90x + 6x + -15x2 + (-2 * x2 + 5x * x2)) = 0
(36 + -90x + 6x + -15x2 + (-2x2 + 5x3)) = 0

Combine like terms: -90x + 6x = -84x
(36 + -84x + -15x2 + -2x2 + 5x3) = 0

Combine like terms: -15x2 + -2x2 = -17x2
(36 + -84x + -17x2 + 5x3) = 0

Solving
36 + -84x + -17x2 + 5x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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