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

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


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

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

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

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

Combine like terms: 3x + 6x = 9x
(3 + 9x + 6x2) = 0

Solving
3 + 9x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + 3x + 2x2) = 0

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

Ignore the factor 3.

Subproblem 1

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

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 = {-1, -0.5}

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