Question

4 x (3x - 5) - 3 x (4x + 5) = - 35

Answer 1

12х^2-20х-12х^2-15х=-35
12х^2 и -12х^2 сокращаются
-20х-15х=-35
-35х=-35
Х=1

Answer 2

Let's solve the given equation step by step:

4x(3x - 5) - 3(4x + 5) = -35

First, apply the distributive property:

12x^2 - 20x - 12x - 15 = -35

Combine like terms:

12x^2 - 32x - 15 = -35

Next, move all the terms to one side to set the equation equal to zero:

12x^2 - 32x - 15 + 35 = 0

12x^2 - 32x + 20 = 0

Now, let's try to factor this quadratic equation:

4(3x^2 - 8x + 5) = 0

We can see that the quadratic expression inside the parentheses can be factored further:

4(3x - 5)(x - 1) = 0

Now we have two possible solutions for x:

1. 3x - 5 = 0 3x = 5 x = 5/3

2. x - 1 = 0 x = 1

Therefore, the solutions to the equation 4x(3x - 5) - 3(4x + 5) = -35 are x = 5/3 and x = 1.