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

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


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

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

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

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

Multiply (-5 + x) * (-2 + x)
(-5(-2 + x) + x(-2 + x))(-7 + x) = 0
((-2 * -5 + x * -5) + x(-2 + x))(-7 + x) = 0
((10 + -5x) + x(-2 + x))(-7 + x) = 0
(10 + -5x + (-2 * x + x * x))(-7 + x) = 0
(10 + -5x + (-2x + x2))(-7 + x) = 0

Combine like terms: -5x + -2x = -7x
(10 + -7x + x2)(-7 + x) = 0

Multiply (10 + -7x + x2) * (-7 + x)
(10(-7 + x) + -7x * (-7 + x) + x2(-7 + x)) = 0
((-7 * 10 + x * 10) + -7x * (-7 + x) + x2(-7 + x)) = 0
((-70 + 10x) + -7x * (-7 + x) + x2(-7 + x)) = 0
(-70 + 10x + (-7 * -7x + x * -7x) + x2(-7 + x)) = 0
(-70 + 10x + (49x + -7x2) + x2(-7 + x)) = 0
(-70 + 10x + 49x + -7x2 + (-7 * x2 + x * x2)) = 0
(-70 + 10x + 49x + -7x2 + (-7x2 + x3)) = 0

Combine like terms: 10x + 49x = 59x
(-70 + 59x + -7x2 + -7x2 + x3) = 0

Combine like terms: -7x2 + -7x2 = -14x2
(-70 + 59x + -14x2 + x3) = 0

Solving
-70 + 59x + -14x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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