(X-3)(7x+8)=0

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Solution for (X-3)(7x+8)=0 equation:


Simplifying
(X + -3)(7x + 8) = 0

Reorder the terms:
(-3 + X)(7x + 8) = 0

Reorder the terms:
(-3 + X)(8 + 7x) = 0

Multiply (-3 + X) * (8 + 7x)
(-3(8 + 7x) + X(8 + 7x)) = 0
((8 * -3 + 7x * -3) + X(8 + 7x)) = 0
((-24 + -21x) + X(8 + 7x)) = 0
(-24 + -21x + (8 * X + 7x * X)) = 0
(-24 + -21x + (8X + 7xX)) = 0

Reorder the terms:
(-24 + 8X + -21x + 7xX) = 0
(-24 + 8X + -21x + 7xX) = 0

Solving
-24 + 8X + -21x + 7xX = 0

Solving for variable 'X'.

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

Add '24' to each side of the equation.
-24 + 8X + -21x + 24 + 7xX = 0 + 24

Reorder the terms:
-24 + 24 + 8X + -21x + 7xX = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 8X + -21x + 7xX = 0 + 24
8X + -21x + 7xX = 0 + 24

Combine like terms: 0 + 24 = 24
8X + -21x + 7xX = 24

Add '21x' to each side of the equation.
8X + -21x + 21x + 7xX = 24 + 21x

Combine like terms: -21x + 21x = 0
8X + 0 + 7xX = 24 + 21x
8X + 7xX = 24 + 21x

Reorder the terms:
-24 + 8X + -21x + 7xX = 24 + 21x + -24 + -21x

Reorder the terms:
-24 + 8X + -21x + 7xX = 24 + -24 + 21x + -21x

Combine like terms: 24 + -24 = 0
-24 + 8X + -21x + 7xX = 0 + 21x + -21x
-24 + 8X + -21x + 7xX = 21x + -21x

Combine like terms: 21x + -21x = 0
-24 + 8X + -21x + 7xX = 0

The solution to this equation could not be determined.

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