g^2-10g=24

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Solution for g^2-10g=24 equation:


Simplifying
g2 + -10g = 24

Reorder the terms:
-10g + g2 = 24

Solving
-10g + g2 = 24

Solving for variable 'g'.

Reorder the terms:
-24 + -10g + g2 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + -10g + g2 = 0

Factor a trinomial.
(-2 + -1g)(12 + -1g) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(12 + -1g)' equal to zero and attempt to solve: Simplifying 12 + -1g = 0 Solving 12 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1g = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1g = 0 + -12 -1g = 0 + -12 Combine like terms: 0 + -12 = -12 -1g = -12 Divide each side by '-1'. g = 12 Simplifying g = 12

Solution

g = {-2, 12}

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