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

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


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

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

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

Multiply (4 + 6x) * (2 + 3x)
(4(2 + 3x) + 6x * (2 + 3x)) = 0
((2 * 4 + 3x * 4) + 6x * (2 + 3x)) = 0
((8 + 12x) + 6x * (2 + 3x)) = 0
(8 + 12x + (2 * 6x + 3x * 6x)) = 0
(8 + 12x + (12x + 18x2)) = 0

Combine like terms: 12x + 12x = 24x
(8 + 24x + 18x2) = 0

Solving
8 + 24x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 12x + 9x2) = 0

Factor a trinomial.
2((2 + 3x)(2 + 3x)) = 0

Ignore the factor 2.

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 '(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

Solution

x = {-0.6666666667, -0.6666666667}

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