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

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


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

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

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

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

Multiply (5 + X) * (-7 + x)
(5(-7 + x) + X(-7 + x))(-7 + 5x) = 0
((-7 * 5 + x * 5) + X(-7 + x))(-7 + 5x) = 0
((-35 + 5x) + X(-7 + x))(-7 + 5x) = 0
(-35 + 5x + (-7 * X + x * X))(-7 + 5x) = 0
(-35 + 5x + (-7X + xX))(-7 + 5x) = 0

Reorder the terms:
(-35 + -7X + 5x + xX)(-7 + 5x) = 0
(-35 + -7X + 5x + xX)(-7 + 5x) = 0

Multiply (-35 + -7X + 5x + xX) * (-7 + 5x)
(-35(-7 + 5x) + -7X * (-7 + 5x) + 5x * (-7 + 5x) + xX(-7 + 5x)) = 0
((-7 * -35 + 5x * -35) + -7X * (-7 + 5x) + 5x * (-7 + 5x) + xX(-7 + 5x)) = 0
((245 + -175x) + -7X * (-7 + 5x) + 5x * (-7 + 5x) + xX(-7 + 5x)) = 0
(245 + -175x + (-7 * -7X + 5x * -7X) + 5x * (-7 + 5x) + xX(-7 + 5x)) = 0
(245 + -175x + (49X + -35xX) + 5x * (-7 + 5x) + xX(-7 + 5x)) = 0
(245 + -175x + 49X + -35xX + (-7 * 5x + 5x * 5x) + xX(-7 + 5x)) = 0
(245 + -175x + 49X + -35xX + (-35x + 25x2) + xX(-7 + 5x)) = 0
(245 + -175x + 49X + -35xX + -35x + 25x2 + (-7 * xX + 5x * xX)) = 0
(245 + -175x + 49X + -35xX + -35x + 25x2 + (-7xX + 5x2X)) = 0

Reorder the terms:
(245 + 49X + -175x + -35x + -35xX + -7xX + 25x2 + 5x2X) = 0

Combine like terms: -175x + -35x = -210x
(245 + 49X + -210x + -35xX + -7xX + 25x2 + 5x2X) = 0

Combine like terms: -35xX + -7xX = -42xX
(245 + 49X + -210x + -42xX + 25x2 + 5x2X) = 0

Solving
245 + 49X + -210x + -42xX + 25x2 + 5x2X = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-245' to each side of the equation.
245 + 49X + -210x + -42xX + 25x2 + -245 + 5x2X = 0 + -245

Reorder the terms:
245 + -245 + 49X + -210x + -42xX + 25x2 + 5x2X = 0 + -245

Combine like terms: 245 + -245 = 0
0 + 49X + -210x + -42xX + 25x2 + 5x2X = 0 + -245
49X + -210x + -42xX + 25x2 + 5x2X = 0 + -245

Combine like terms: 0 + -245 = -245
49X + -210x + -42xX + 25x2 + 5x2X = -245

Add '210x' to each side of the equation.
49X + -210x + -42xX + 25x2 + 210x + 5x2X = -245 + 210x

Reorder the terms:
49X + -210x + 210x + -42xX + 25x2 + 5x2X = -245 + 210x

Combine like terms: -210x + 210x = 0
49X + 0 + -42xX + 25x2 + 5x2X = -245 + 210x
49X + -42xX + 25x2 + 5x2X = -245 + 210x

Add '-25x2' to each side of the equation.
49X + -42xX + 25x2 + -25x2 + 5x2X = -245 + 210x + -25x2

Combine like terms: 25x2 + -25x2 = 0
49X + -42xX + 0 + 5x2X = -245 + 210x + -25x2
49X + -42xX + 5x2X = -245 + 210x + -25x2

Reorder the terms:
245 + 49X + -210x + -42xX + 25x2 + 5x2X = -245 + 210x + -25x2 + 245 + -210x + 25x2

Reorder the terms:
245 + 49X + -210x + -42xX + 25x2 + 5x2X = -245 + 245 + 210x + -210x + -25x2 + 25x2

Combine like terms: -245 + 245 = 0
245 + 49X + -210x + -42xX + 25x2 + 5x2X = 0 + 210x + -210x + -25x2 + 25x2
245 + 49X + -210x + -42xX + 25x2 + 5x2X = 210x + -210x + -25x2 + 25x2

Combine like terms: 210x + -210x = 0
245 + 49X + -210x + -42xX + 25x2 + 5x2X = 0 + -25x2 + 25x2
245 + 49X + -210x + -42xX + 25x2 + 5x2X = -25x2 + 25x2

Combine like terms: -25x2 + 25x2 = 0
245 + 49X + -210x + -42xX + 25x2 + 5x2X = 0

The solution to this equation could not be determined.

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