(5x-3)(x-2)x=74

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Solution for (5x-3)(x-2)x=74 equation:


Simplifying
(5x + -3)(x + -2) * x = 74

Reorder the terms:
(-3 + 5x)(x + -2) * x = 74

Reorder the terms:
(-3 + 5x)(-2 + x) * x = 74

Reorder the terms for easier multiplication:
x(-3 + 5x)(-2 + x) = 74

Multiply (-3 + 5x) * (-2 + x)
x(-3(-2 + x) + 5x * (-2 + x)) = 74
x((-2 * -3 + x * -3) + 5x * (-2 + x)) = 74
x((6 + -3x) + 5x * (-2 + x)) = 74
x(6 + -3x + (-2 * 5x + x * 5x)) = 74
x(6 + -3x + (-10x + 5x2)) = 74

Combine like terms: -3x + -10x = -13x
x(6 + -13x + 5x2) = 74
(6 * x + -13x * x + 5x2 * x) = 74
(6x + -13x2 + 5x3) = 74

Solving
6x + -13x2 + 5x3 = 74

Solving for variable 'x'.

Reorder the terms:
-74 + 6x + -13x2 + 5x3 = 74 + -74

Combine like terms: 74 + -74 = 0
-74 + 6x + -13x2 + 5x3 = 0

The solution to this equation could not be determined.

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