9r^2-13r-10=0

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Solution for 9r^2-13r-10=0 equation:


Simplifying
9r2 + -13r + -10 = 0

Reorder the terms:
-10 + -13r + 9r2 = 0

Solving
-10 + -13r + 9r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-5 + -9r)(2 + -1r) = 0

Subproblem 1

Set the factor '(-5 + -9r)' equal to zero and attempt to solve: Simplifying -5 + -9r = 0 Solving -5 + -9r = 0 Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -9r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -9r = 0 + 5 -9r = 0 + 5 Combine like terms: 0 + 5 = 5 -9r = 5 Divide each side by '-9'. r = -0.5555555556 Simplifying r = -0.5555555556

Subproblem 2

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

Solution

r = {-0.5555555556, 2}

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