5g^2-2g-7=0

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Solution for 5g^2-2g-7=0 equation:


Simplifying
5g2 + -2g + -7 = 0

Reorder the terms:
-7 + -2g + 5g2 = 0

Solving
-7 + -2g + 5g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-1 + -1g)(7 + -5g) = 0

Subproblem 1

Set the factor '(-1 + -1g)' equal to zero and attempt to solve: Simplifying -1 + -1g = 0 Solving -1 + -1g = 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 + -1g = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1g = 0 + 1 -1g = 0 + 1 Combine like terms: 0 + 1 = 1 -1g = 1 Divide each side by '-1'. g = -1 Simplifying g = -1

Subproblem 2

Set the factor '(7 + -5g)' equal to zero and attempt to solve: Simplifying 7 + -5g = 0 Solving 7 + -5g = 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 + -5g = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5g = 0 + -7 -5g = 0 + -7 Combine like terms: 0 + -7 = -7 -5g = -7 Divide each side by '-5'. g = 1.4 Simplifying g = 1.4

Solution

g = {-1, 1.4}

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