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

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


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

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

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

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

Multiply (3 + X) * (-7 + x)
(3(-7 + x) + X(-7 + x))(-7 + 5x) = 0
((-7 * 3 + x * 3) + X(-7 + x))(-7 + 5x) = 0
((-21 + 3x) + X(-7 + x))(-7 + 5x) = 0
(-21 + 3x + (-7 * X + x * X))(-7 + 5x) = 0
(-21 + 3x + (-7X + xX))(-7 + 5x) = 0

Reorder the terms:
(-21 + -7X + 3x + xX)(-7 + 5x) = 0
(-21 + -7X + 3x + xX)(-7 + 5x) = 0

Multiply (-21 + -7X + 3x + xX) * (-7 + 5x)
(-21(-7 + 5x) + -7X * (-7 + 5x) + 3x * (-7 + 5x) + xX(-7 + 5x)) = 0
((-7 * -21 + 5x * -21) + -7X * (-7 + 5x) + 3x * (-7 + 5x) + xX(-7 + 5x)) = 0
((147 + -105x) + -7X * (-7 + 5x) + 3x * (-7 + 5x) + xX(-7 + 5x)) = 0
(147 + -105x + (-7 * -7X + 5x * -7X) + 3x * (-7 + 5x) + xX(-7 + 5x)) = 0
(147 + -105x + (49X + -35xX) + 3x * (-7 + 5x) + xX(-7 + 5x)) = 0
(147 + -105x + 49X + -35xX + (-7 * 3x + 5x * 3x) + xX(-7 + 5x)) = 0
(147 + -105x + 49X + -35xX + (-21x + 15x2) + xX(-7 + 5x)) = 0
(147 + -105x + 49X + -35xX + -21x + 15x2 + (-7 * xX + 5x * xX)) = 0
(147 + -105x + 49X + -35xX + -21x + 15x2 + (-7xX + 5x2X)) = 0

Reorder the terms:
(147 + 49X + -105x + -21x + -35xX + -7xX + 15x2 + 5x2X) = 0

Combine like terms: -105x + -21x = -126x
(147 + 49X + -126x + -35xX + -7xX + 15x2 + 5x2X) = 0

Combine like terms: -35xX + -7xX = -42xX
(147 + 49X + -126x + -42xX + 15x2 + 5x2X) = 0

Solving
147 + 49X + -126x + -42xX + 15x2 + 5x2X = 0

Solving for variable 'X'.

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

Add '-147' to each side of the equation.
147 + 49X + -126x + -42xX + 15x2 + -147 + 5x2X = 0 + -147

Reorder the terms:
147 + -147 + 49X + -126x + -42xX + 15x2 + 5x2X = 0 + -147

Combine like terms: 147 + -147 = 0
0 + 49X + -126x + -42xX + 15x2 + 5x2X = 0 + -147
49X + -126x + -42xX + 15x2 + 5x2X = 0 + -147

Combine like terms: 0 + -147 = -147
49X + -126x + -42xX + 15x2 + 5x2X = -147

Add '126x' to each side of the equation.
49X + -126x + -42xX + 15x2 + 126x + 5x2X = -147 + 126x

Reorder the terms:
49X + -126x + 126x + -42xX + 15x2 + 5x2X = -147 + 126x

Combine like terms: -126x + 126x = 0
49X + 0 + -42xX + 15x2 + 5x2X = -147 + 126x
49X + -42xX + 15x2 + 5x2X = -147 + 126x

Add '-15x2' to each side of the equation.
49X + -42xX + 15x2 + -15x2 + 5x2X = -147 + 126x + -15x2

Combine like terms: 15x2 + -15x2 = 0
49X + -42xX + 0 + 5x2X = -147 + 126x + -15x2
49X + -42xX + 5x2X = -147 + 126x + -15x2

Reorder the terms:
147 + 49X + -126x + -42xX + 15x2 + 5x2X = -147 + 126x + -15x2 + 147 + -126x + 15x2

Reorder the terms:
147 + 49X + -126x + -42xX + 15x2 + 5x2X = -147 + 147 + 126x + -126x + -15x2 + 15x2

Combine like terms: -147 + 147 = 0
147 + 49X + -126x + -42xX + 15x2 + 5x2X = 0 + 126x + -126x + -15x2 + 15x2
147 + 49X + -126x + -42xX + 15x2 + 5x2X = 126x + -126x + -15x2 + 15x2

Combine like terms: 126x + -126x = 0
147 + 49X + -126x + -42xX + 15x2 + 5x2X = 0 + -15x2 + 15x2
147 + 49X + -126x + -42xX + 15x2 + 5x2X = -15x2 + 15x2

Combine like terms: -15x2 + 15x2 = 0
147 + 49X + -126x + -42xX + 15x2 + 5x2X = 0

The solution to this equation could not be determined.

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