Question

[200:(4x+6)x6/15]:3=25

Answer 1

$\left[200:(4x+6) \cdot \dfrac{6}{15}\right]:3=25\\\\200:(4x+6) \cdot \dfrac{6}{15}=75\\\\200:(4x+6) \cdot \dfrac{2}{5}=75\\\dfrac{200\cdot 2}{5(4x+6)}=75\\\dfrac{400}{5(4x+6)}=75\\\\\dfrac{80}{4x+6}=75\\\\\dfrac{40}{2x+3}=75\\\\\dfrac{8}{2x+3}=15\\2x+3=\dfrac{8}{15}\\30x+45=8\\30x=-37\\\\x=-\dfrac{37}{30}$

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Answer 2

To solve the equation [200:(4x+6)x6/15]:3=25, let's break it down step by step.

1. Simplify the expression within the brackets: [200:(4x+6)x6/15]:3 = [200/((4x+6)x6/15)]:3 = [200/(24x+36)]:3

2. Divide 200 by (24x+36): [200/(24x+36)]:3 = (200/(24x+36)) ÷ 3 = (200/3) ÷ (24x+36) = 66.67 ÷ (24x+36) = 2.22 ÷ (8x+12)

3. Set the above expression equal to 25 and solve for x: 2.22 ÷ (8x+12) = 25

To continue solving the equation, we need to isolate x. Let's multiply both sides of the equation by (8x+12):

2.22 = 25(8x+12)

Expanding the right side of the equation:

2.22 = 200x + 300

Next, subtract 300 from both sides of the equation:

2.22 - 300 = 200x

-297.78 = 200x

Finally, divide both sides of the equation by 200 to solve for x:

x = -297.78/200

x ≈ -1.49

Therefore, the approximate solution to the equation is x ≈ -1.49.