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

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


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

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

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

Multiply (2 + 3X) * (-4 + X)
(2(-4 + X) + 3X * (-4 + X)) = 0
((-4 * 2 + X * 2) + 3X * (-4 + X)) = 0
((-8 + 2X) + 3X * (-4 + X)) = 0
(-8 + 2X + (-4 * 3X + X * 3X)) = 0
(-8 + 2X + (-12X + 3X2)) = 0

Combine like terms: 2X + -12X = -10X
(-8 + -10X + 3X2) = 0

Solving
-8 + -10X + 3X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-2 + -3X)(4 + -1X) = 0

Subproblem 1

Set the factor '(-2 + -3X)' equal to zero and attempt to solve: Simplifying -2 + -3X = 0 Solving -2 + -3X = 0 Move all terms containing X to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3X = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3X = 0 + 2 -3X = 0 + 2 Combine like terms: 0 + 2 = 2 -3X = 2 Divide each side by '-3'. X = -0.6666666667 Simplifying X = -0.6666666667

Subproblem 2

Set the factor '(4 + -1X)' equal to zero and attempt to solve: Simplifying 4 + -1X = 0 Solving 4 + -1X = 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 + -1X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1X = 0 + -4 -1X = 0 + -4 Combine like terms: 0 + -4 = -4 -1X = -4 Divide each side by '-1'. X = 4 Simplifying X = 4

Solution

X = {-0.6666666667, 4}

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