(g-7)(g+9)=

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Solution for (g-7)(g+9)= equation:


Simplifying
(g + -7)(g + 9) = 0

Reorder the terms:
(-7 + g)(g + 9) = 0

Reorder the terms:
(-7 + g)(9 + g) = 0

Multiply (-7 + g) * (9 + g)
(-7(9 + g) + g(9 + g)) = 0
((9 * -7 + g * -7) + g(9 + g)) = 0
((-63 + -7g) + g(9 + g)) = 0
(-63 + -7g + (9 * g + g * g)) = 0
(-63 + -7g + (9g + g2)) = 0

Combine like terms: -7g + 9g = 2g
(-63 + 2g + g2) = 0

Solving
-63 + 2g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-9 + -1g)(7 + -1g) = 0

Subproblem 1

Set the factor '(-9 + -1g)' equal to zero and attempt to solve: Simplifying -9 + -1g = 0 Solving -9 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1g = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1g = 0 + 9 -1g = 0 + 9 Combine like terms: 0 + 9 = 9 -1g = 9 Divide each side by '-1'. g = -9 Simplifying g = -9

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 = {-9, 7}

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