0=28t^2-37t-225

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Solution for 0=28t^2-37t-225 equation: 


Simplifying
0 = 28t2 + -37t + -225

Reorder the terms:
0 = -225 + -37t + 28t2

Solving
0 = -225 + -37t + 28t2

Solving for variable 't'.

Combine like terms: 0 + 225 = 225
225 + 37t + -28t2 = -225 + -37t + 28t2 + 225 + 37t + -28t2

Reorder the terms:
225 + 37t + -28t2 = -225 + 225 + -37t + 37t + 28t2 + -28t2

Combine like terms: -225 + 225 = 0
225 + 37t + -28t2 = 0 + -37t + 37t + 28t2 + -28t2
225 + 37t + -28t2 = -37t + 37t + 28t2 + -28t2

Combine like terms: -37t + 37t = 0
225 + 37t + -28t2 = 0 + 28t2 + -28t2
225 + 37t + -28t2 = 28t2 + -28t2

Combine like terms: 28t2 + -28t2 = 0
225 + 37t + -28t2 = 0

Factor a trinomial.
(25 + -7t)(9 + 4t) = 0


Subproblem 1
Set the factor '(25 + -7t)' equal to zero and attempt to solve:

Simplifying
25 + -7t = 0

Solving
25 + -7t = 0

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

Add '-25' to each side of the equation.
25 + -25 + -7t = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -7t = 0 + -25
-7t = 0 + -25

Combine like terms: 0 + -25 = -25
-7t = -25

Divide each side by '-7'.
t = 3.571428571

Simplifying
t = 3.571428571

Subproblem 2
Set the factor '(9 + 4t)' equal to zero and attempt to solve:

Simplifying
9 + 4t = 0

Solving
9 + 4t = 0

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

Add '-9' to each side of the equation.
9 + -9 + 4t = 0 + -9

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

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

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

Simplifying
t = -2.25
Solution
t = {3.571428571, -2.25}

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