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Simplifying
90 = 1.5r2 + 8
Reorder the terms:
90 = 8 + 1.5r2
Solving
90 = 8 + 1.5r2
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-1.5r2' to each side of the equation.
90 + -1.5r2 = 8 + 1.5r2 + -1.5r2
Combine like terms: 1.5r2 + -1.5r2 = 0.0
90 + -1.5r2 = 8 + 0.0
90 + -1.5r2 = 8
Add '-90' to each side of the equation.
90 + -90 + -1.5r2 = 8 + -90
Combine like terms: 90 + -90 = 0
0 + -1.5r2 = 8 + -90
-1.5r2 = 8 + -90
Combine like terms: 8 + -90 = -82
-1.5r2 = -82
Divide each side by '-1.5'.
r2 = 54.66666667
Simplifying
r2 = 54.66666667
Take the square root of each side:
r = {-7.393691004, 7.393691004}
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