7g^2+12g-4=0

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Solution for 7g^2+12g-4=0 equation:


Simplifying
7g2 + 12g + -4 = 0

Reorder the terms:
-4 + 12g + 7g2 = 0

Solving
-4 + 12g + 7g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-2 + -1g)(2 + -7g) = 0

Subproblem 1

Set the factor '(-2 + -1g)' equal to zero and attempt to solve: Simplifying -2 + -1g = 0 Solving -2 + -1g = 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 + -1g = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1g = 0 + 2 -1g = 0 + 2 Combine like terms: 0 + 2 = 2 -1g = 2 Divide each side by '-1'. g = -2 Simplifying g = -2

Subproblem 2

Set the factor '(2 + -7g)' equal to zero and attempt to solve: Simplifying 2 + -7g = 0 Solving 2 + -7g = 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 + -7g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7g = 0 + -2 -7g = 0 + -2 Combine like terms: 0 + -2 = -2 -7g = -2 Divide each side by '-7'. g = 0.2857142857 Simplifying g = 0.2857142857

Solution

g = {-2, 0.2857142857}

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