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

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


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

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

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

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

Combine like terms: 4x + 18x = 22x
(12 + 22x + 6x2) = 0

Solving
12 + 22x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + 11x + 3x2) = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

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 = {-3, -0.6666666667}

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