90=1.5(t^2)+8

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Solution for 90=1.5(t^2)+8 equation: 


Simplifying
90 = 1.5(t2) + 8

Reorder the terms:
90 = 8 + 1.5t2

Solving
90 = 8 + 1.5t2

Solving for variable 't'.

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

Add '-1.5t2' to each side of the equation.
90 + -1.5t2 = 8 + 1.5t2 + -1.5t2

Combine like terms: 1.5t2 + -1.5t2 = 0.0
90 + -1.5t2 = 8 + 0.0
90 + -1.5t2 = 8

Add '-90' to each side of the equation.
90 + -90 + -1.5t2 = 8 + -90

Combine like terms: 90 + -90 = 0
0 + -1.5t2 = 8 + -90
-1.5t2 = 8 + -90

Combine like terms: 8 + -90 = -82
-1.5t2 = -82

Divide each side by '-1.5'.
t2 = 54.66666667

Simplifying
t2 = 54.66666667

Take the square root of each side:
t = {-7.393691004, 7.393691004}

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