8g*g*g-2g*g=2g*g-5g*g

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Solution for 8g*g*g-2g*g=2g*g-5g*g equation:


Simplifying
8g * g * g + -2g * g = 2g * g + -5g * g

Multiply g * g
8g2 * g + -2g * g = 2g * g + -5g * g

Multiply g2 * g
8g3 + -2g * g = 2g * g + -5g * g

Multiply g * g
8g3 + -2g2 = 2g * g + -5g * g

Reorder the terms:
-2g2 + 8g3 = 2g * g + -5g * g

Multiply g * g
-2g2 + 8g3 = 2g2 + -5g * g

Multiply g * g
-2g2 + 8g3 = 2g2 + -5g2

Combine like terms: 2g2 + -5g2 = -3g2
-2g2 + 8g3 = -3g2

Solving
-2g2 + 8g3 = -3g2

Solving for variable 'g'.

Reorder the terms:
-2g2 + 3g2 + 8g3 = -3g2 + 3g2

Combine like terms: -2g2 + 3g2 = 1g2
1g2 + 8g3 = -3g2 + 3g2

Combine like terms: -3g2 + 3g2 = 0
1g2 + 8g3 = 0

Factor out the Greatest Common Factor (GCF), 'g2'.
g2(1 + 8g) = 0

Subproblem 1

Set the factor 'g2' equal to zero and attempt to solve: Simplifying g2 = 0 Solving g2 = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g2 = 0 Take the square root of each side: g = {0}

Subproblem 2

Set the factor '(1 + 8g)' equal to zero and attempt to solve: Simplifying 1 + 8g = 0 Solving 1 + 8g = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 8g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8g = 0 + -1 8g = 0 + -1 Combine like terms: 0 + -1 = -1 8g = -1 Divide each side by '8'. g = -0.125 Simplifying g = -0.125

Solution

g = {0, -0.125}

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