g^2-10g=-25

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Solution for g^2-10g=-25 equation:


Simplifying
g2 + -10g = -25

Reorder the terms:
-10g + g2 = -25

Solving
-10g + g2 = -25

Solving for variable 'g'.

Reorder the terms:
25 + -10g + g2 = -25 + 25

Combine like terms: -25 + 25 = 0
25 + -10g + g2 = 0

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

Subproblem 1

Set the factor '(5 + -1g)' equal to zero and attempt to solve: Simplifying 5 + -1g = 0 Solving 5 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1g = 0 + -5 -1g = 0 + -5 Combine like terms: 0 + -5 = -5 -1g = -5 Divide each side by '-1'. g = 5 Simplifying g = 5

Subproblem 2

Set the factor '(5 + -1g)' equal to zero and attempt to solve: Simplifying 5 + -1g = 0 Solving 5 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1g = 0 + -5 -1g = 0 + -5 Combine like terms: 0 + -5 = -5 -1g = -5 Divide each side by '-1'. g = 5 Simplifying g = 5

Solution

g = {5, 5}

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