4tg^2-9=0

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Solution for 4tg^2-9=0 equation:


Simplifying
4tg2 + -9 = 0

Reorder the terms:
-9 + 4g2t = 0

Solving
-9 + 4g2t = 0

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + 4g2t = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4g2t = 0 + 9
4g2t = 0 + 9

Combine like terms: 0 + 9 = 9
4g2t = 9

Divide each side by '4t'.
g2 = 2.25t-1

Simplifying
g2 = 2.25t-1

Combine like terms: 2.25t-1 + -2.25t-1 = 0.00
g2 + -2.25t-1 = 0.00

Factor out the Greatest Common Factor (GCF), 't-1'.
t-1(g2t + -2.25) = 0.00

Subproblem 1

Set the factor 't-1' equal to zero and attempt to solve: Simplifying t-1 = 0 Solving t-1 = 0 Move all terms containing g to the left, all other terms to the right. Add '-1t-1' to each side of the equation. t-1 + -1t-1 = 0 + -1t-1 Remove the zero: 0 = -1t-1 Simplifying 0 = -1t-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(g2t + -2.25)' equal to zero and attempt to solve: Simplifying g2t + -2.25 = 0 Reorder the terms: -2.25 + g2t = 0 Solving -2.25 + g2t = 0 Move all terms containing g to the left, all other terms to the right. Add '2.25' to each side of the equation. -2.25 + 2.25 + g2t = 0 + 2.25 Combine like terms: -2.25 + 2.25 = 0.00 0.00 + g2t = 0 + 2.25 g2t = 0 + 2.25 Combine like terms: 0 + 2.25 = 2.25 g2t = 2.25 Divide each side by 't'. g2 = 2.25t-1 Simplifying g2 = 2.25t-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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