First, let's expand both sides of the equation:
Left side:(4x + 1)(x + 5)= 4x^2 + 20x + x + 5= 4x^2 + 21x + 5
Right side:(4x + 1)(3x + 2)= 12x^2 + 8x + 3x + 2= 12x^2 + 11x + 2
Now, we can compare both sides of the equation:
4x^2 + 21x + 5 = 12x^2 + 11x + 2
Subtract 12x^2 and 11x from both sides:
-8x^2 + 10x + 5 = 2
Subtract 2 from both sides:
-8x^2 + 10x + 3 = 0
This is a quadratic equation, and we can solve it by factoring or using the quadratic formula. After factoring or using the quadratic formula, we can find the values of x that satisfy the equation.
First, let's expand both sides of the equation:
Left side:
(4x + 1)(x + 5)
= 4x^2 + 20x + x + 5
= 4x^2 + 21x + 5
Right side:
(4x + 1)(3x + 2)
= 12x^2 + 8x + 3x + 2
= 12x^2 + 11x + 2
Now, we can compare both sides of the equation:
4x^2 + 21x + 5 = 12x^2 + 11x + 2
Subtract 12x^2 and 11x from both sides:
-8x^2 + 10x + 5 = 2
Subtract 2 from both sides:
-8x^2 + 10x + 3 = 0
This is a quadratic equation, and we can solve it by factoring or using the quadratic formula. After factoring or using the quadratic formula, we can find the values of x that satisfy the equation.