d^2-19d+90=0

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Solution for d^2-19d+90=0 equation:


Simplifying
d2 + -19d + 90 = 0

Reorder the terms:
90 + -19d + d2 = 0

Solving
90 + -19d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(9 + -1d)(10 + -1d) = 0

Subproblem 1

Set the factor '(9 + -1d)' equal to zero and attempt to solve: Simplifying 9 + -1d = 0 Solving 9 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1d = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1d = 0 + -9 -1d = 0 + -9 Combine like terms: 0 + -9 = -9 -1d = -9 Divide each side by '-1'. d = 9 Simplifying d = 9

Subproblem 2

Set the factor '(10 + -1d)' equal to zero and attempt to solve: Simplifying 10 + -1d = 0 Solving 10 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1d = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1d = 0 + -10 -1d = 0 + -10 Combine like terms: 0 + -10 = -10 -1d = -10 Divide each side by '-1'. d = 10 Simplifying d = 10

Solution

d = {9, 10}

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