d^2+10d+25=25

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Solution for d^2+10d+25=25 equation:


Simplifying
d2 + 10d + 25 = 25

Reorder the terms:
25 + 10d + d2 = 25

Add '-25' to each side of the equation.
25 + 10d + -25 + d2 = 25 + -25

Reorder the terms:
25 + -25 + 10d + d2 = 25 + -25

Combine like terms: 25 + -25 = 0
0 + 10d + d2 = 25 + -25
10d + d2 = 25 + -25

Combine like terms: 25 + -25 = 0
10d + d2 = 0

Solving
10d + d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), 'd'.
d(10 + 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 '(10 + d)' equal to zero and attempt to solve: Simplifying 10 + d = 0 Solving 10 + d = 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 + d = 0 + -10 Combine like terms: 10 + -10 = 0 0 + d = 0 + -10 d = 0 + -10 Combine like terms: 0 + -10 = -10 d = -10 Simplifying d = -10

Solution

d = {0, -10}

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