0=-6tx^2+48t+54

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Solution for 0=-6tx^2+48t+54 equation:


Simplifying
0 = -6tx2 + 48t + 54

Reorder the terms:
0 = 54 + 48t + -6tx2

Solving
0 = 54 + 48t + -6tx2

Solving for variable 't'.

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

Add '-48t' to each side of the equation.
0 + -48t = 54 + 48t + -48t + -6tx2
Remove the zero:
-48t = 54 + 48t + -48t + -6tx2

Combine like terms: 48t + -48t = 0
-48t = 54 + 0 + -6tx2
-48t = 54 + -6tx2

Add '6tx2' to each side of the equation.
-48t + 6tx2 = 54 + -6tx2 + 6tx2

Combine like terms: -6tx2 + 6tx2 = 0
-48t + 6tx2 = 54 + 0
-48t + 6tx2 = 54

Reorder the terms:
-54 + -48t + 6tx2 = 54 + -54

Combine like terms: 54 + -54 = 0
-54 + -48t + 6tx2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-9 + -8t + tx2) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-9 + -8t + tx2)' equal to zero and attempt to solve: Simplifying -9 + -8t + tx2 = 0 Solving -9 + -8t + tx2 = 0 Move all terms containing t to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -8t + 9 + tx2 = 0 + 9 Reorder the terms: -9 + 9 + -8t + tx2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -8t + tx2 = 0 + 9 -8t + tx2 = 0 + 9 Combine like terms: 0 + 9 = 9 -8t + tx2 = 9 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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