answer this for 10 points
Answers
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Explanation:
Simplifying
(2d + -3)(2d + -3) = 0
Reorder the terms:
(-3 + 2d)(2d + -3) = 0
Reorder the terms:
(-3 + 2d)(-3 + 2d) = 0
Multiply (-3 + 2d) * (-3 + 2d)
(-3(-3 + 2d) + 2d * (-3 + 2d)) = 0
((-3 * -3 + 2d * -3) + 2d * (-3 + 2d)) = 0
((9 + -6d) + 2d * (-3 + 2d)) = 0
(9 + -6d + (-3 * 2d + 2d * 2d)) = 0
(9 + -6d + (-6d + 4d2)) = 0
Combine like terms: -6d + -6d = -12d
(9 + -12d + 4d2) = 0
Solving
9 + -12d + 4d2 = 0
Solving for variable 'd'.
Factor a trinomial.
(3 + -2d)(3 + -2d) = 0
Subproblem 1
Set the factor '(3 + -2d)' equal to zero and attempt to solve:
Simplifying
3 + -2d = 0
Solving
3 + -2d = 0
Move all terms containing d to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -2d = 0 + -3
Combine like terms: 3 + -3 = 0
0 + -2d = 0 + -3
-2d = 0 + -3
Combine like terms: 0 + -3 = -3
-2d = -3
Divide each side by '-2'.
d = 1.5
Simplifying
d = 1.5
Subproblem 2
Set the factor '(3 + -2d)' equal to zero and attempt to solve:
Simplifying
3 + -2d = 0
Solving
3 + -2d = 0
Move all terms containing d to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -2d = 0 + -3
Combine like terms: 3 + -3 = 0
0 + -2d = 0 + -3
-2d = 0 + -3
Combine like terms: 0 + -3 = -3
-2d = -3
Divide each side by '-2'.
d = 1.5
Simplifying
d = 1.5
Solution
d = {1.5, 1.5}