10g^2+10=-29g

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Solution for 10g^2+10=-29g equation:


Simplifying
10g2 + 10 = -29g

Reorder the terms:
10 + 10g2 = -29g

Solving
10 + 10g2 = -29g

Solving for variable 'g'.

Reorder the terms:
10 + 29g + 10g2 = -29g + 29g

Combine like terms: -29g + 29g = 0
10 + 29g + 10g2 = 0

Factor a trinomial.
(5 + 2g)(2 + 5g) = 0

Subproblem 1

Set the factor '(5 + 2g)' equal to zero and attempt to solve: Simplifying 5 + 2g = 0 Solving 5 + 2g = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2g = 0 + -5 2g = 0 + -5 Combine like terms: 0 + -5 = -5 2g = -5 Divide each side by '2'. g = -2.5 Simplifying g = -2.5

Subproblem 2

Set the factor '(2 + 5g)' equal to zero and attempt to solve: Simplifying 2 + 5g = 0 Solving 2 + 5g = 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 + 5g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5g = 0 + -2 5g = 0 + -2 Combine like terms: 0 + -2 = -2 5g = -2 Divide each side by '5'. g = -0.4 Simplifying g = -0.4

Solution

g = {-2.5, -0.4}

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