Question

4x(x-1)-(2х+5)(2х-3)=9

Answer 1

Ответ:

0.75

Объяснение:

$4x(x-1)-(2x+5)(2x-3)=9\\4x^{2} -4x-(4x^{2}-6x+10x-15)=9\\4x^{2} -4x-4x^{2}+6x-10x+15=9\\-8x=-6|*(-1)\\8x=6\\x=\frac{6}{8} \\x=0.75$

Answer 2

Let's solve the given equation step-by-step:

1. Expand the expressions: 4x(x - 1) - (2x + 5)(2x - 3) = 9

   Expand the first term: 4x^2 - 4x - (2x + 5)(2x - 3) = 9

2. Expand the second term: 4x^2 - 4x - (4x^2 - 6x + 10x - 15) = 9

3. Remove the parentheses: 4x^2 - 4x - 4x^2 + 6x - 10x + 15 = 9

4. Simplify the equation: Combine like terms: 4x^2 - 4x - 4x^2 + (6x - 10x) + 15 = 9

   4x^2 - 4x - 4x^2 - 4x + 15 = 9

5. Continue to simplify: Combine like terms: 4x^2 - 4x^2 - 4x - 4x + 15 = 9

   -4x - 4x + 15 = 9

6. Further simplify: Combine like terms: -8x + 15 = 9

7. Now, isolate the variable: Move the constant term to the other side of the equation: -8x = 9 - 15

   -8x = -6

8. Finally, solve for x: Divide both sides by -8 to get the value of x: x = (-6) / (-8)

   x = 3/4

So, the solution to the equation is x = 3/4.