8g^2-14g+3=

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Solution for 8g^2-14g+3= equation:


Simplifying
8g2 + -14g + 3 = 0

Reorder the terms:
3 + -14g + 8g2 = 0

Solving
3 + -14g + 8g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(1 + -4g)(3 + -2g) = 0

Subproblem 1

Set the factor '(1 + -4g)' equal to zero and attempt to solve: Simplifying 1 + -4g = 0 Solving 1 + -4g = 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 + -4g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4g = 0 + -1 -4g = 0 + -1 Combine like terms: 0 + -1 = -1 -4g = -1 Divide each side by '-4'. g = 0.25 Simplifying g = 0.25

Subproblem 2

Set the factor '(3 + -2g)' equal to zero and attempt to solve: Simplifying 3 + -2g = 0 Solving 3 + -2g = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2g = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2g = 0 + -3 -2g = 0 + -3 Combine like terms: 0 + -3 = -3 -2g = -3 Divide each side by '-2'. g = 1.5 Simplifying g = 1.5

Solution

g = {0.25, 1.5}

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