(g+8)(g-3)-(g+2)(g-9)=0

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Solution for (g+8)(g-3)-(g+2)(g-9)=0 equation: 


Simplifying
(g + 8)(g + -3) + -1(g + 2)(g + -9) = 0

Reorder the terms:
(8 + g)(g + -3) + -1(g + 2)(g + -9) = 0

Reorder the terms:
(8 + g)(-3 + g) + -1(g + 2)(g + -9) = 0

Multiply (8 + g) * (-3 + g)
(8(-3 + g) + g(-3 + g)) + -1(g + 2)(g + -9) = 0
((-3 * 8 + g * 8) + g(-3 + g)) + -1(g + 2)(g + -9) = 0
((-24 + 8g) + g(-3 + g)) + -1(g + 2)(g + -9) = 0
(-24 + 8g + (-3 * g + g * g)) + -1(g + 2)(g + -9) = 0
(-24 + 8g + (-3g + g2)) + -1(g + 2)(g + -9) = 0

Combine like terms: 8g + -3g = 5g
(-24 + 5g + g2) + -1(g + 2)(g + -9) = 0

Reorder the terms:
-24 + 5g + g2 + -1(2 + g)(g + -9) = 0

Reorder the terms:
-24 + 5g + g2 + -1(2 + g)(-9 + g) = 0

Multiply (2 + g) * (-9 + g)
-24 + 5g + g2 + -1(2(-9 + g) + g(-9 + g)) = 0
-24 + 5g + g2 + -1((-9 * 2 + g * 2) + g(-9 + g)) = 0
-24 + 5g + g2 + -1((-18 + 2g) + g(-9 + g)) = 0
-24 + 5g + g2 + -1(-18 + 2g + (-9 * g + g * g)) = 0
-24 + 5g + g2 + -1(-18 + 2g + (-9g + g2)) = 0

Combine like terms: 2g + -9g = -7g
-24 + 5g + g2 + -1(-18 + -7g + g2) = 0
-24 + 5g + g2 + (-18 * -1 + -7g * -1 + g2 * -1) = 0
-24 + 5g + g2 + (18 + 7g + -1g2) = 0

Reorder the terms:
-24 + 18 + 5g + 7g + g2 + -1g2 = 0

Combine like terms: -24 + 18 = -6
-6 + 5g + 7g + g2 + -1g2 = 0

Combine like terms: 5g + 7g = 12g
-6 + 12g + g2 + -1g2 = 0

Combine like terms: g2 + -1g2 = 0
-6 + 12g + 0 = 0
-6 + 12g = 0

Solving
-6 + 12g = 0

Solving for variable 'g'.

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

Add '6' to each side of the equation.
-6 + 6 + 12g = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 12g = 0 + 6
12g = 0 + 6

Combine like terms: 0 + 6 = 6
12g = 6

Divide each side by '12'.
g = 0.5

Simplifying
g = 0.5

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