(4x+2)(6-3x)=

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Solution for (4x+2)(6-3x)= equation:


Simplifying
(4x + 2)(6 + -3x) = 0

Reorder the terms:
(2 + 4x)(6 + -3x) = 0

Multiply (2 + 4x) * (6 + -3x)
(2(6 + -3x) + 4x * (6 + -3x)) = 0
((6 * 2 + -3x * 2) + 4x * (6 + -3x)) = 0
((12 + -6x) + 4x * (6 + -3x)) = 0
(12 + -6x + (6 * 4x + -3x * 4x)) = 0
(12 + -6x + (24x + -12x2)) = 0

Combine like terms: -6x + 24x = 18x
(12 + 18x + -12x2) = 0

Solving
12 + 18x + -12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(2 + 3x + -2x2) = 0

Factor a trinomial.
6((2 + -1x)(1 + 2x)) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Subproblem 2

Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5

Solution

x = {2, -0.5}

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