Question

X(4x^2+3)/(2x+1)^3=7 ​x=?

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve the equation X(4x^2+3)/(2x+1)^3 = 7 and find the value of x, we can follow these steps:

Step 1: Simplify the expression on the left-hand side of the equation: X(4x^2 + 3)/(2x + 1)^3 = 7

Step 2: Expand the denominator (2x + 1)^3: (2x + 1)^3 = (2x + 1)(2x + 1)(2x + 1) = (2x + 1)(4x^2 + 4x + 4x + 1) = (2x + 1)(4x^2 + 8x + 1) = 8x^3 + 16x^2 + 2x + 4x^2 + 8x + 1 = 8x^3 + 20x^2 + 10x + 1

Step 3: Substitute this expanded denominator back into the equation: X(4x^2 + 3)/(8x^3 + 20x^2 + 10x + 1) = 7

Step 4: Multiply both sides of the equation by the denominator to eliminate it from the equation: X(4x^2 + 3) = 7(8x^3 + 20x^2 + 10x + 1)

Step 5: Distribute X on the left side and 7 on the right side: 4x^3 + 3X = 56x^3 + 140x^2 + 70x + 7

Step 6: Move all terms to one side to set the equation equal to zero: 52x^3 + 140x^2 + 70x + 7 - 3X = 0

Step 7: Combine like terms: 52x^3 + 140x^2 + 70x - 3X + 7 = 0

At this point, it seems like there was an error in the equation provided. The variable "X" and "x" are being used interchangeably. Please double-check the equation or provide the correct equation for me to assist you further.