0=-d^2+6d

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Solution for 0=-d^2+6d equation:


Simplifying
0 = -1d2 + 6d

Reorder the terms:
0 = 6d + -1d2

Solving
0 = 6d + -1d2

Solving for variable 'd'.
Remove the zero:
-6d + d2 = 6d + -1d2 + -6d + d2

Reorder the terms:
-6d + d2 = 6d + -6d + -1d2 + d2

Combine like terms: 6d + -6d = 0
-6d + d2 = 0 + -1d2 + d2
-6d + d2 = -1d2 + d2

Combine like terms: -1d2 + d2 = 0
-6d + d2 = 0

Factor out the Greatest Common Factor (GCF), 'd'.
d(-6 + d) = 0

Subproblem 1

Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0

Subproblem 2

Set the factor '(-6 + d)' equal to zero and attempt to solve: Simplifying -6 + d = 0 Solving -6 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + d = 0 + 6 Combine like terms: -6 + 6 = 0 0 + d = 0 + 6 d = 0 + 6 Combine like terms: 0 + 6 = 6 d = 6 Simplifying d = 6

Solution

d = {0, 6}

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