-16d^2+64d+0=60

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Solution for -16d^2+64d+0=60 equation:


Simplifying
-16d2 + 64d + 0 = 60

Reorder the terms:
0 + 64d + -16d2 = 60
Remove the zero:
64d + -16d2 = 60

Solving
64d + -16d2 = 60

Solving for variable 'd'.

Reorder the terms:
-60 + 64d + -16d2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + 64d + -16d2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-15 + 16d + -4d2) = 0

Factor a trinomial.
4((-5 + 2d)(3 + -2d)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-5 + 2d)' equal to zero and attempt to solve: Simplifying -5 + 2d = 0 Solving -5 + 2d = 0 Move all terms containing d to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2d = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2d = 0 + 5 2d = 0 + 5 Combine like terms: 0 + 5 = 5 2d = 5 Divide each side by '2'. d = 2.5 Simplifying d = 2.5

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 = {2.5, 1.5}

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