Question

(ii) (3x + 1) (2x + 3) = 3. quadratic equation​

Answer 1

Answer:

x = 2/3  or x = 0

Step-by-step explanation:

Answer 2

Answer:

Simplifying

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

Reorder the terms:

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

Reorder the terms:

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

Multiply (1 + 3x) * (3 + 2x)

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

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

((3 + 2x) + 3x * (3 + 2x)) = 3

(3 + 2x + (3 * 3x + 2x * 3x)) = 3

(3 + 2x + (9x + 6x2)) = 3

Combine like terms: 2x + 9x = 11x

(3 + 11x + 6x2) = 3

Add '-3' to each side of the equation.

3 + 11x + -3 + 6x2 = 3 + -3

Reorder the terms:

3 + -3 + 11x + 6x2 = 3 + -3

Combine like terms: 3 + -3 = 0

0 + 11x + 6x2 = 3 + -3

11x + 6x2 = 3 + -3

Combine like terms: 3 + -3 = 0

11x + 6x2 = 0

Solving

11x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.

x(11 + 6x) = 0

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