9r^2+10r=16

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Solution for 9r^2+10r=16 equation:


Simplifying
9r2 + 10r = 16

Reorder the terms:
10r + 9r2 = 16

Solving
10r + 9r2 = 16

Solving for variable 'r'.

Reorder the terms:
-16 + 10r + 9r2 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + 10r + 9r2 = 0

Factor a trinomial.
(-2 + -1r)(8 + -9r) = 0

Subproblem 1

Set the factor '(-2 + -1r)' equal to zero and attempt to solve: Simplifying -2 + -1r = 0 Solving -2 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1r = 0 + 2 -1r = 0 + 2 Combine like terms: 0 + 2 = 2 -1r = 2 Divide each side by '-1'. r = -2 Simplifying r = -2

Subproblem 2

Set the factor '(8 + -9r)' equal to zero and attempt to solve: Simplifying 8 + -9r = 0 Solving 8 + -9r = 0 Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -9r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9r = 0 + -8 -9r = 0 + -8 Combine like terms: 0 + -8 = -8 -9r = -8 Divide each side by '-9'. r = 0.8888888889 Simplifying r = 0.8888888889

Solution

r = {-2, 0.8888888889}

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