(d-10)d+10=-6

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Solution for (d-10)d+10=-6 equation:


Simplifying
(d + -10) * d + 10 = -6

Reorder the terms:
(-10 + d) * d + 10 = -6

Reorder the terms for easier multiplication:
d(-10 + d) + 10 = -6
(-10 * d + d * d) + 10 = -6
(-10d + d2) + 10 = -6

Reorder the terms:
10 + -10d + d2 = -6

Solving
10 + -10d + d2 = -6

Solving for variable 'd'.

Reorder the terms:
10 + 6 + -10d + d2 = -6 + 6

Combine like terms: 10 + 6 = 16
16 + -10d + d2 = -6 + 6

Combine like terms: -6 + 6 = 0
16 + -10d + d2 = 0

Factor a trinomial.
(2 + -1d)(8 + -1d) = 0

Subproblem 1

Set the factor '(2 + -1d)' equal to zero and attempt to solve: Simplifying 2 + -1d = 0 Solving 2 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1d = 0 + -2 -1d = 0 + -2 Combine like terms: 0 + -2 = -2 -1d = -2 Divide each side by '-1'. d = 2 Simplifying d = 2

Subproblem 2

Set the factor '(8 + -1d)' equal to zero and attempt to solve: Simplifying 8 + -1d = 0 Solving 8 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1d = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1d = 0 + -8 -1d = 0 + -8 Combine like terms: 0 + -8 = -8 -1d = -8 Divide each side by '-1'. d = 8 Simplifying d = 8

Solution

d = {2, 8}

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