Let's simplify the given equation step by step:
15x - 7x(2x+5) = 4x(x+1)
15x - 14x^2 - 35x = 4x^2 + 4x
Combine like terms on both sides:
15x - 14x^2 - 35x = 4x^2 + 4x15x - 14x^2 - 35x - 4x^2 - 4x = 0-18x^2 - 24x = 0
Divide both sides by -6x to simplify:
-18x^2 - 24x = 0-6x(3x + 4) = 0
Now, the equation simplifies to:
3x + 4 = 0
Solving for x, we get:
3x = -4x = -4/3
Therefore, the solution to the equation is x = -4/3.
Let's simplify the given equation step by step:
15x - 7x(2x+5) = 4x(x+1)
15x - 14x^2 - 35x = 4x^2 + 4x
Combine like terms on both sides:
15x - 14x^2 - 35x = 4x^2 + 4x
15x - 14x^2 - 35x - 4x^2 - 4x = 0
-18x^2 - 24x = 0
Divide both sides by -6x to simplify:
-18x^2 - 24x = 0
-6x(3x + 4) = 0
Now, the equation simplifies to:
3x + 4 = 0
Solving for x, we get:
3x = -4
x = -4/3
Therefore, the solution to the equation is x = -4/3.