4x(5x-2) + 9.6 = 2x(2+x)
Expanding both sides:
20x^2 - 8x + 9.6 = 4x + 2x^2
Combining like terms:
18x^2 - 12x + 9.6 = 6x^2
Rearranging terms:
12x^2 - 12x - 9.6 = 0
Dividing by 1.2 to simplify:
10x^2 - 10x - 8 = 0
Now, you can solve for x using the quadratic formula:
x = [-(-10) ± sqrt((-10)^2 - 4(10)(-8))] / 2(10)x = [10 ± sqrt(100 + 320)] / 20x = [10 ± sqrt(420)] / 20x = [10 ± 20.5] / 20
x = 1.025 or x = -0.775
Therefore, the solutions for x are 1.025 and -0.775.
4x(5x-2) + 9.6 = 2x(2+x)
Expanding both sides:
20x^2 - 8x + 9.6 = 4x + 2x^2
Combining like terms:
18x^2 - 12x + 9.6 = 6x^2
Rearranging terms:
12x^2 - 12x - 9.6 = 0
Dividing by 1.2 to simplify:
10x^2 - 10x - 8 = 0
Now, you can solve for x using the quadratic formula:
x = [-(-10) ± sqrt((-10)^2 - 4(10)(-8))] / 2(10)
x = [10 ± sqrt(100 + 320)] / 20
x = [10 ± sqrt(420)] / 20
x = [10 ± 20.5] / 20
x = 1.025 or x = -0.775
Therefore, the solutions for x are 1.025 and -0.775.