Expanding the expression on the left side:
-2 - 30 - 30x - 1.5 = -21(x - 1.8) * x
-32 - 30x - 1.5 = -21x^2 + 37.8x
Combine like terms:
-33.5 - 30x = -21x^2 + 37.8x
Rearrange the equation to set it equal to zero:
21x^2 - 67.8x - 33.5 = 0
Now, we can solve for x using the quadratic formula:
x = (-(-67.8) ± √((-67.8)^2 - 421(-33.5))) / 2*21
x = (67.8 ± √(4591.76 + 2821.4)) / 42
x = (67.8 ± √7413.16) / 42
x = (67.8 ± 86.08) / 42
Two possible solutions:
x1 = (67.8 + 86.08) / 42 = 3.837
x2 = (67.8 - 86.08) / 42 = -0.885
Therefore, the possible solutions for x are x1 = 3.837 and x2 = -0.885.
Expanding the expression on the left side:
-2 - 30 - 30x - 1.5 = -21(x - 1.8) * x
-32 - 30x - 1.5 = -21x^2 + 37.8x
Combine like terms:
-33.5 - 30x = -21x^2 + 37.8x
Rearrange the equation to set it equal to zero:
21x^2 - 67.8x - 33.5 = 0
Now, we can solve for x using the quadratic formula:
x = (-(-67.8) ± √((-67.8)^2 - 421(-33.5))) / 2*21
x = (67.8 ± √(4591.76 + 2821.4)) / 42
x = (67.8 ± √7413.16) / 42
x = (67.8 ± 86.08) / 42
Two possible solutions:
x1 = (67.8 + 86.08) / 42 = 3.837
x2 = (67.8 - 86.08) / 42 = -0.885
Therefore, the possible solutions for x are x1 = 3.837 and x2 = -0.885.