(6x+1)(2x+3)=

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Solution for (6x+1)(2x+3)= equation:


Simplifying
(6x + 1)(2x + 3) = 0

Reorder the terms:
(1 + 6x)(2x + 3) = 0

Reorder the terms:
(1 + 6x)(3 + 2x) = 0

Multiply (1 + 6x) * (3 + 2x)
(1(3 + 2x) + 6x * (3 + 2x)) = 0
((3 * 1 + 2x * 1) + 6x * (3 + 2x)) = 0
((3 + 2x) + 6x * (3 + 2x)) = 0
(3 + 2x + (3 * 6x + 2x * 6x)) = 0
(3 + 2x + (18x + 12x2)) = 0

Combine like terms: 2x + 18x = 20x
(3 + 20x + 12x2) = 0

Solving
3 + 20x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + 2x)(1 + 6x) = 0

Subproblem 1

Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5

Subproblem 2

Set the factor '(1 + 6x)' equal to zero and attempt to solve: Simplifying 1 + 6x = 0 Solving 1 + 6x = 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 + 6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 0 + -1 6x = 0 + -1 Combine like terms: 0 + -1 = -1 6x = -1 Divide each side by '6'. x = -0.1666666667 Simplifying x = -0.1666666667

Solution

x = {-1.5, -0.1666666667}

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