d*d+3d-10=0

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Solution for d*d+3d-10=0 equation:


Simplifying
d * d + 3d + -10 = 0

Multiply d * d
d2 + 3d + -10 = 0

Reorder the terms:
-10 + 3d + d2 = 0

Solving
-10 + 3d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-5 + -1d)(2 + -1d) = 0

Subproblem 1

Set the factor '(-5 + -1d)' equal to zero and attempt to solve: Simplifying -5 + -1d = 0 Solving -5 + -1d = 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 + -1d = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1d = 0 + 5 -1d = 0 + 5 Combine like terms: 0 + 5 = 5 -1d = 5 Divide each side by '-1'. d = -5 Simplifying d = -5

Subproblem 2

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

Solution

d = {-5, 2}

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