(X-7)(x+5)(2x-3)=0

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Solution for (X-7)(x+5)(2x-3)=0 equation: 


Simplifying
(X + -7)(x + 5)(2x + -3) = 0

Reorder the terms:
(-7 + X)(x + 5)(2x + -3) = 0

Reorder the terms:
(-7 + X)(5 + x)(2x + -3) = 0

Reorder the terms:
(-7 + X)(5 + x)(-3 + 2x) = 0

Multiply (-7 + X) * (5 + x)
(-7(5 + x) + X(5 + x))(-3 + 2x) = 0
((5 * -7 + x * -7) + X(5 + x))(-3 + 2x) = 0
((-35 + -7x) + X(5 + x))(-3 + 2x) = 0
(-35 + -7x + (5 * X + x * X))(-3 + 2x) = 0
(-35 + -7x + (5X + xX))(-3 + 2x) = 0

Reorder the terms:
(-35 + 5X + -7x + xX)(-3 + 2x) = 0
(-35 + 5X + -7x + xX)(-3 + 2x) = 0

Multiply (-35 + 5X + -7x + xX) * (-3 + 2x)
(-35(-3 + 2x) + 5X * (-3 + 2x) + -7x * (-3 + 2x) + xX(-3 + 2x)) = 0
((-3 * -35 + 2x * -35) + 5X * (-3 + 2x) + -7x * (-3 + 2x) + xX(-3 + 2x)) = 0
((105 + -70x) + 5X * (-3 + 2x) + -7x * (-3 + 2x) + xX(-3 + 2x)) = 0
(105 + -70x + (-3 * 5X + 2x * 5X) + -7x * (-3 + 2x) + xX(-3 + 2x)) = 0
(105 + -70x + (-15X + 10xX) + -7x * (-3 + 2x) + xX(-3 + 2x)) = 0
(105 + -70x + -15X + 10xX + (-3 * -7x + 2x * -7x) + xX(-3 + 2x)) = 0
(105 + -70x + -15X + 10xX + (21x + -14x2) + xX(-3 + 2x)) = 0
(105 + -70x + -15X + 10xX + 21x + -14x2 + (-3 * xX + 2x * xX)) = 0
(105 + -70x + -15X + 10xX + 21x + -14x2 + (-3xX + 2x2X)) = 0

Reorder the terms:
(105 + -15X + -70x + 21x + 10xX + -3xX + -14x2 + 2x2X) = 0

Combine like terms: -70x + 21x = -49x
(105 + -15X + -49x + 10xX + -3xX + -14x2 + 2x2X) = 0

Combine like terms: 10xX + -3xX = 7xX
(105 + -15X + -49x + 7xX + -14x2 + 2x2X) = 0

Solving
105 + -15X + -49x + 7xX + -14x2 + 2x2X = 0

Solving for variable 'X'.

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

Add '-105' to each side of the equation.
105 + -15X + -49x + 7xX + -14x2 + -105 + 2x2X = 0 + -105

Reorder the terms:
105 + -105 + -15X + -49x + 7xX + -14x2 + 2x2X = 0 + -105

Combine like terms: 105 + -105 = 0
0 + -15X + -49x + 7xX + -14x2 + 2x2X = 0 + -105
-15X + -49x + 7xX + -14x2 + 2x2X = 0 + -105

Combine like terms: 0 + -105 = -105
-15X + -49x + 7xX + -14x2 + 2x2X = -105

Add '49x' to each side of the equation.
-15X + -49x + 7xX + -14x2 + 49x + 2x2X = -105 + 49x

Reorder the terms:
-15X + -49x + 49x + 7xX + -14x2 + 2x2X = -105 + 49x

Combine like terms: -49x + 49x = 0
-15X + 0 + 7xX + -14x2 + 2x2X = -105 + 49x
-15X + 7xX + -14x2 + 2x2X = -105 + 49x

Add '14x2' to each side of the equation.
-15X + 7xX + -14x2 + 14x2 + 2x2X = -105 + 49x + 14x2

Combine like terms: -14x2 + 14x2 = 0
-15X + 7xX + 0 + 2x2X = -105 + 49x + 14x2
-15X + 7xX + 2x2X = -105 + 49x + 14x2

Reorder the terms:
105 + -15X + -49x + 7xX + -14x2 + 2x2X = -105 + 49x + 14x2 + 105 + -49x + -14x2

Reorder the terms:
105 + -15X + -49x + 7xX + -14x2 + 2x2X = -105 + 105 + 49x + -49x + 14x2 + -14x2

Combine like terms: -105 + 105 = 0
105 + -15X + -49x + 7xX + -14x2 + 2x2X = 0 + 49x + -49x + 14x2 + -14x2
105 + -15X + -49x + 7xX + -14x2 + 2x2X = 49x + -49x + 14x2 + -14x2

Combine like terms: 49x + -49x = 0
105 + -15X + -49x + 7xX + -14x2 + 2x2X = 0 + 14x2 + -14x2
105 + -15X + -49x + 7xX + -14x2 + 2x2X = 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
105 + -15X + -49x + 7xX + -14x2 + 2x2X = 0

The solution to this equation could not be determined.

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