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

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


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

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

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

Multiply (-3 + X) * (5 + 5x)
(-3(5 + 5x) + X(5 + 5x)) = 0
((5 * -3 + 5x * -3) + X(5 + 5x)) = 0
((-15 + -15x) + X(5 + 5x)) = 0
(-15 + -15x + (5 * X + 5x * X)) = 0
(-15 + -15x + (5X + 5xX)) = 0

Reorder the terms:
(-15 + 5X + -15x + 5xX) = 0
(-15 + 5X + -15x + 5xX) = 0

Solving
-15 + 5X + -15x + 5xX = 0

Solving for variable 'X'.

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

Add '15' to each side of the equation.
-15 + 5X + -15x + 15 + 5xX = 0 + 15

Reorder the terms:
-15 + 15 + 5X + -15x + 5xX = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 5X + -15x + 5xX = 0 + 15
5X + -15x + 5xX = 0 + 15

Combine like terms: 0 + 15 = 15
5X + -15x + 5xX = 15

Add '15x' to each side of the equation.
5X + -15x + 15x + 5xX = 15 + 15x

Combine like terms: -15x + 15x = 0
5X + 0 + 5xX = 15 + 15x
5X + 5xX = 15 + 15x

Reorder the terms:
-15 + 5X + -15x + 5xX = 15 + 15x + -15 + -15x

Reorder the terms:
-15 + 5X + -15x + 5xX = 15 + -15 + 15x + -15x

Combine like terms: 15 + -15 = 0
-15 + 5X + -15x + 5xX = 0 + 15x + -15x
-15 + 5X + -15x + 5xX = 15x + -15x

Combine like terms: 15x + -15x = 0
-15 + 5X + -15x + 5xX = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-3 + X + -3x + xX) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-3 + X + -3x + xX)' equal to zero and attempt to solve: Simplifying -3 + X + -3x + xX = 0 Solving -3 + X + -3x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + X + -3x + 3 + xX = 0 + 3 Reorder the terms: -3 + 3 + X + -3x + xX = 0 + 3 Combine like terms: -3 + 3 = 0 0 + X + -3x + xX = 0 + 3 X + -3x + xX = 0 + 3 Combine like terms: 0 + 3 = 3 X + -3x + xX = 3 Add '3x' to each side of the equation. X + -3x + 3x + xX = 3 + 3x Combine like terms: -3x + 3x = 0 X + 0 + xX = 3 + 3x X + xX = 3 + 3x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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