Question

(2,5х-7)*(2х+3)+3х+4=(4х-9)*(1,5х+1)

Answer 1

Х=1.7
Числа с х переносим в левый меняя знаки

Answer 2

Let's solve the equation step by step:

(2.5x - 7)(2x + 3) + 3x + 4 = (4x - 9)(1.5x + 1)

First, let's expand both sides of the equation using the distributive property:

(2.5x * 2x) + (2.5x * 3) + (-7 * 2x) + (-7 * 3) + 3x + 4 = (4x * 1.5x) + (4x * 1) + (-9 * 1.5x) + (-9 * 1)

5x^2 + 7.5x - 14x - 21 + 3x + 4 = 6x^2 + 4x - 13.5x - 9

Simplifying the equation:

5x^2 - 6.5x - 17 = 6x^2 - 9.5x - 9

Rearranging the equation to have all terms on one side:

0 = 6x^2 - 5x^2 - 6.5x + 9.5x - 17 + 9

0 = x^2 + 3x - 8

Now, we can solve the quadratic equation. There are different methods to solve quadratic equations, such as factoring, completing the square, or using the quadratic formula. Let's use the quadratic formula in this case:

x = (-b ± √(b^2 - 4ac)) / (2a)

For our equation, a = 1, b = 3, and c = -8. Substituting these values into the formula:

x = (-3 ± √(3^2 - 4 * 1 * -8)) / (2 * 1)

x = (-3 ± √(9 + 32)) / 2

x = (-3 ± √41) / 2

Therefore, the solutions to the equation are:

x = (-3 + √41) / 2

x = (-3 - √41) / 2

These are the exact solutions to the equation (2.5x - 7)(2x + 3) + 3x + 4 = (4x - 9)(1.5x + 1).