(X-3)(4x+2)=0

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Solution for (X-3)(4x+2)=0 equation:


Simplifying
(X + -3)(4x + 2) = 0

Reorder the terms:
(-3 + X)(4x + 2) = 0

Reorder the terms:
(-3 + X)(2 + 4x) = 0

Multiply (-3 + X) * (2 + 4x)
(-3(2 + 4x) + X(2 + 4x)) = 0
((2 * -3 + 4x * -3) + X(2 + 4x)) = 0
((-6 + -12x) + X(2 + 4x)) = 0
(-6 + -12x + (2 * X + 4x * X)) = 0
(-6 + -12x + (2X + 4xX)) = 0

Reorder the terms:
(-6 + 2X + -12x + 4xX) = 0
(-6 + 2X + -12x + 4xX) = 0

Solving
-6 + 2X + -12x + 4xX = 0

Solving for variable 'X'.

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

Add '6' to each side of the equation.
-6 + 2X + -12x + 6 + 4xX = 0 + 6

Reorder the terms:
-6 + 6 + 2X + -12x + 4xX = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 2X + -12x + 4xX = 0 + 6
2X + -12x + 4xX = 0 + 6

Combine like terms: 0 + 6 = 6
2X + -12x + 4xX = 6

Add '12x' to each side of the equation.
2X + -12x + 12x + 4xX = 6 + 12x

Combine like terms: -12x + 12x = 0
2X + 0 + 4xX = 6 + 12x
2X + 4xX = 6 + 12x

Reorder the terms:
-6 + 2X + -12x + 4xX = 6 + 12x + -6 + -12x

Reorder the terms:
-6 + 2X + -12x + 4xX = 6 + -6 + 12x + -12x

Combine like terms: 6 + -6 = 0
-6 + 2X + -12x + 4xX = 0 + 12x + -12x
-6 + 2X + -12x + 4xX = 12x + -12x

Combine like terms: 12x + -12x = 0
-6 + 2X + -12x + 4xX = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + X + -6x + 2xX) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + X + -6x + 2xX)' equal to zero and attempt to solve: Simplifying -3 + X + -6x + 2xX = 0 Solving -3 + X + -6x + 2xX = 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 + -6x + 3 + 2xX = 0 + 3 Reorder the terms: -3 + 3 + X + -6x + 2xX = 0 + 3 Combine like terms: -3 + 3 = 0 0 + X + -6x + 2xX = 0 + 3 X + -6x + 2xX = 0 + 3 Combine like terms: 0 + 3 = 3 X + -6x + 2xX = 3 Add '6x' to each side of the equation. X + -6x + 6x + 2xX = 3 + 6x Combine like terms: -6x + 6x = 0 X + 0 + 2xX = 3 + 6x X + 2xX = 3 + 6x 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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