(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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