(x-5)(x+7)(5x-2)=0

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Solution for (x-5)(x+7)(5x-2)=0 equation:


Simplifying
(x + -5)(x + 7)(5x + -2) = 0

Reorder the terms:
(-5 + x)(x + 7)(5x + -2) = 0

Reorder the terms:
(-5 + x)(7 + x)(5x + -2) = 0

Reorder the terms:
(-5 + x)(7 + x)(-2 + 5x) = 0

Multiply (-5 + x) * (7 + x)
(-5(7 + x) + x(7 + x))(-2 + 5x) = 0
((7 * -5 + x * -5) + x(7 + x))(-2 + 5x) = 0
((-35 + -5x) + x(7 + x))(-2 + 5x) = 0
(-35 + -5x + (7 * x + x * x))(-2 + 5x) = 0
(-35 + -5x + (7x + x2))(-2 + 5x) = 0

Combine like terms: -5x + 7x = 2x
(-35 + 2x + x2)(-2 + 5x) = 0

Multiply (-35 + 2x + x2) * (-2 + 5x)
(-35(-2 + 5x) + 2x * (-2 + 5x) + x2(-2 + 5x)) = 0
((-2 * -35 + 5x * -35) + 2x * (-2 + 5x) + x2(-2 + 5x)) = 0
((70 + -175x) + 2x * (-2 + 5x) + x2(-2 + 5x)) = 0
(70 + -175x + (-2 * 2x + 5x * 2x) + x2(-2 + 5x)) = 0
(70 + -175x + (-4x + 10x2) + x2(-2 + 5x)) = 0
(70 + -175x + -4x + 10x2 + (-2 * x2 + 5x * x2)) = 0
(70 + -175x + -4x + 10x2 + (-2x2 + 5x3)) = 0

Combine like terms: -175x + -4x = -179x
(70 + -179x + 10x2 + -2x2 + 5x3) = 0

Combine like terms: 10x2 + -2x2 = 8x2
(70 + -179x + 8x2 + 5x3) = 0

Solving
70 + -179x + 8x2 + 5x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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