Question

solve the following quadratic equation by factorization method (2x+3)²=16​

Answer 1

Answer:

Step-by-step explanation:

Simplifying

(2x + -3) * 2 = 16

Reorder the terms:

(-3 + 2x) * 2 = 16

Reorder the terms for easier multiplication:

2(-3 + 2x) = 16

(-3 * 2 + 2x * 2) = 16

(-6 + 4x) = 16

Solving

-6 + 4x = 16

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6' to each side of the equation.

-6 + 6 + 4x = 16 + 6

Combine like terms: -6 + 6 = 0

0 + 4x = 16 + 6

4x = 16 + 6

Combine like terms: 16 + 6 = 22

4x = 22

Divide each side by '4'.

x = 5.5

Simplifying

x = 5.5