(4X-3)(-2X-8)=0

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Solution for (4X-3)(-2X-8)=0 equation: 


Simplifying
(4X + -3)(-2X + -8) = 0

Reorder the terms:
(-3 + 4X)(-2X + -8) = 0

Reorder the terms:
(-3 + 4X)(-8 + -2X) = 0

Multiply (-3 + 4X) * (-8 + -2X)
(-3(-8 + -2X) + 4X * (-8 + -2X)) = 0
((-8 * -3 + -2X * -3) + 4X * (-8 + -2X)) = 0
((24 + 6X) + 4X * (-8 + -2X)) = 0
(24 + 6X + (-8 * 4X + -2X * 4X)) = 0
(24 + 6X + (-32X + -8X2)) = 0

Combine like terms: 6X + -32X = -26X
(24 + -26X + -8X2) = 0

Solving
24 + -26X + -8X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -13X + -4X2) = 0

Factor a trinomial.
2((3 + -4X)(4 + X)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(3 + -4X)' equal to zero and attempt to solve:

Simplifying
3 + -4X = 0

Solving
3 + -4X = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4X = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4X = 0 + -3
-4X = 0 + -3

Combine like terms: 0 + -3 = -3
-4X = -3

Divide each side by '-4'.
X = 0.75

Simplifying
X = 0.75

Subproblem 2
Set the factor '(4 + X)' equal to zero and attempt to solve:

Simplifying
4 + X = 0

Solving
4 + X = 0

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

Add '-4' to each side of the equation.
4 + -4 + X = 0 + -4

Combine like terms: 4 + -4 = 0
0 + X = 0 + -4
X = 0 + -4

Combine like terms: 0 + -4 = -4
X = -4

Simplifying
X = -4
Solution
X = {0.75, -4}

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