Question

(x+7)(5x-4)-(x+7)(4x-3)=0

Answer 1

ну воот и ответик надеюсь правильно

Answer 2

To solve the given equation, we need to factorize it and then set each factor equal to zero to find the values of 'x' that satisfy the equation. Let's proceed step by step:

Step 1: Factor out the common term '(x+7)' from both terms on the left-hand side of the equation:

(x+7)(5x-4) - (x+7)(4x-3) = 0 => (x+7)[(5x-4) - (4x-3)] = 0

Step 2: Simplify the expression inside the square brackets:

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

Step 3: The equation now becomes:

(x + 7)(x - 1) = 0

Step 4: Now, set each factor equal to zero and solve for 'x':

1. x + 7 = 0 x = -7

2. x - 1 = 0 x = 1

So, the solutions to the equation are x = -7 and x = 1.