49g^2-84g+36=0

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Solution for 49g^2-84g+36=0 equation:


Simplifying
49g2 + -84g + 36 = 0

Reorder the terms:
36 + -84g + 49g2 = 0

Solving
36 + -84g + 49g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(6 + -7g)(6 + -7g) = 0

Subproblem 1

Set the factor '(6 + -7g)' equal to zero and attempt to solve: Simplifying 6 + -7g = 0 Solving 6 + -7g = 0 Move all terms containing g to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7g = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7g = 0 + -6 -7g = 0 + -6 Combine like terms: 0 + -6 = -6 -7g = -6 Divide each side by '-7'. g = 0.8571428571 Simplifying g = 0.8571428571

Subproblem 2

Set the factor '(6 + -7g)' equal to zero and attempt to solve: Simplifying 6 + -7g = 0 Solving 6 + -7g = 0 Move all terms containing g to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7g = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7g = 0 + -6 -7g = 0 + -6 Combine like terms: 0 + -6 = -6 -7g = -6 Divide each side by '-7'. g = 0.8571428571 Simplifying g = 0.8571428571

Solution

g = {0.8571428571, 0.8571428571}

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