(g+8)(g-7)=0

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Solution for (g+8)(g-7)=0 equation: 


Simplifying
(g + 8)(g + -7) = 0

Reorder the terms:
(8 + g)(g + -7) = 0

Reorder the terms:
(8 + g)(-7 + g) = 0

Multiply (8 + g) * (-7 + g)
(8(-7 + g) + g(-7 + g)) = 0
((-7 * 8 + g * 8) + g(-7 + g)) = 0
((-56 + 8g) + g(-7 + g)) = 0
(-56 + 8g + (-7 * g + g * g)) = 0
(-56 + 8g + (-7g + g2)) = 0

Combine like terms: 8g + -7g = 1g
(-56 + 1g + g2) = 0

Solving
-56 + 1g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-8 + -1g)(7 + -1g) = 0


Subproblem 1
Set the factor '(-8 + -1g)' equal to zero and attempt to solve:

Simplifying
-8 + -1g = 0

Solving
-8 + -1g = 0

Move all terms containing g to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + -1g = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1g = 0 + 8
-1g = 0 + 8

Combine like terms: 0 + 8 = 8
-1g = 8

Divide each side by '-1'.
g = -8

Simplifying
g = -8

Subproblem 2
Set the factor '(7 + -1g)' equal to zero and attempt to solve:

Simplifying
7 + -1g = 0

Solving
7 + -1g = 0

Move all terms containing g to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1g = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1g = 0 + -7
-1g = 0 + -7

Combine like terms: 0 + -7 = -7
-1g = -7

Divide each side by '-1'.
g = 7

Simplifying
g = 7
Solution
g = {-8, 7}

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