(5x+2)(x-3)(x-4)=0

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Solution for (5x+2)(x-3)(x-4)=0 equation:


Simplifying
(5x + 2)(x + -3)(x + -4) = 0

Reorder the terms:
(2 + 5x)(x + -3)(x + -4) = 0

Reorder the terms:
(2 + 5x)(-3 + x)(x + -4) = 0

Reorder the terms:
(2 + 5x)(-3 + x)(-4 + x) = 0

Multiply (2 + 5x) * (-3 + x)
(2(-3 + x) + 5x * (-3 + x))(-4 + x) = 0
((-3 * 2 + x * 2) + 5x * (-3 + x))(-4 + x) = 0
((-6 + 2x) + 5x * (-3 + x))(-4 + x) = 0
(-6 + 2x + (-3 * 5x + x * 5x))(-4 + x) = 0
(-6 + 2x + (-15x + 5x2))(-4 + x) = 0

Combine like terms: 2x + -15x = -13x
(-6 + -13x + 5x2)(-4 + x) = 0

Multiply (-6 + -13x + 5x2) * (-4 + x)
(-6(-4 + x) + -13x * (-4 + x) + 5x2 * (-4 + x)) = 0
((-4 * -6 + x * -6) + -13x * (-4 + x) + 5x2 * (-4 + x)) = 0
((24 + -6x) + -13x * (-4 + x) + 5x2 * (-4 + x)) = 0
(24 + -6x + (-4 * -13x + x * -13x) + 5x2 * (-4 + x)) = 0
(24 + -6x + (52x + -13x2) + 5x2 * (-4 + x)) = 0
(24 + -6x + 52x + -13x2 + (-4 * 5x2 + x * 5x2)) = 0
(24 + -6x + 52x + -13x2 + (-20x2 + 5x3)) = 0

Combine like terms: -6x + 52x = 46x
(24 + 46x + -13x2 + -20x2 + 5x3) = 0

Combine like terms: -13x2 + -20x2 = -33x2
(24 + 46x + -33x2 + 5x3) = 0

Solving
24 + 46x + -33x2 + 5x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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