Question

Which equation is equivalent to 12(3sqrtx+15)= 36?

Answer 1

To find an equation equivalent to 12(3√x + 15) = 36, simplify and isolate x. The equivalent equation is x = 16.

Step-by-step explanation:

To find an equation that is equivalent to the given equation, 12(3√x + 15) = 36, we need to simplify and isolate x. Here are the steps:

1. Distribute 12 to the terms inside the parentheses: 12 * 3√x + 12 * 15 = 36
2. Simplify the equation: 36√x + 180 = 36
3. Subtract 180 from both sides of the equation to isolate the term with √x: 36√x = 36 - 180
4. Simplify further: 36√x = -144
5. Divide both sides of the equation by 36 to solve for √x: √x = -4
6. Square both sides of the equation to eliminate the square root: (√x)² = (-4)²
7. Simplify: x = 16

So, the equation that is equivalent to 12(3√x + 15) = 36 is x = 16.