(4X-5)(3x-15)=0

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Solution for (4X-5)(3x-15)=0 equation:


Simplifying
(4X + -5)(3x + -15) = 0

Reorder the terms:
(-5 + 4X)(3x + -15) = 0

Reorder the terms:
(-5 + 4X)(-15 + 3x) = 0

Multiply (-5 + 4X) * (-15 + 3x)
(-5(-15 + 3x) + 4X * (-15 + 3x)) = 0
((-15 * -5 + 3x * -5) + 4X * (-15 + 3x)) = 0
((75 + -15x) + 4X * (-15 + 3x)) = 0
(75 + -15x + (-15 * 4X + 3x * 4X)) = 0
(75 + -15x + (-60X + 12xX)) = 0

Reorder the terms:
(75 + -60X + -15x + 12xX) = 0
(75 + -60X + -15x + 12xX) = 0

Solving
75 + -60X + -15x + 12xX = 0

Solving for variable 'X'.

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

Add '-75' to each side of the equation.
75 + -60X + -15x + -75 + 12xX = 0 + -75

Reorder the terms:
75 + -75 + -60X + -15x + 12xX = 0 + -75

Combine like terms: 75 + -75 = 0
0 + -60X + -15x + 12xX = 0 + -75
-60X + -15x + 12xX = 0 + -75

Combine like terms: 0 + -75 = -75
-60X + -15x + 12xX = -75

Add '15x' to each side of the equation.
-60X + -15x + 15x + 12xX = -75 + 15x

Combine like terms: -15x + 15x = 0
-60X + 0 + 12xX = -75 + 15x
-60X + 12xX = -75 + 15x

Reorder the terms:
75 + -60X + -15x + 12xX = -75 + 15x + 75 + -15x

Reorder the terms:
75 + -60X + -15x + 12xX = -75 + 75 + 15x + -15x

Combine like terms: -75 + 75 = 0
75 + -60X + -15x + 12xX = 0 + 15x + -15x
75 + -60X + -15x + 12xX = 15x + -15x

Combine like terms: 15x + -15x = 0
75 + -60X + -15x + 12xX = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(25 + -20X + -5x + 4xX) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(25 + -20X + -5x + 4xX)' equal to zero and attempt to solve: Simplifying 25 + -20X + -5x + 4xX = 0 Solving 25 + -20X + -5x + 4xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -20X + -5x + -25 + 4xX = 0 + -25 Reorder the terms: 25 + -25 + -20X + -5x + 4xX = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -20X + -5x + 4xX = 0 + -25 -20X + -5x + 4xX = 0 + -25 Combine like terms: 0 + -25 = -25 -20X + -5x + 4xX = -25 Add '5x' to each side of the equation. -20X + -5x + 5x + 4xX = -25 + 5x Combine like terms: -5x + 5x = 0 -20X + 0 + 4xX = -25 + 5x -20X + 4xX = -25 + 5x 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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