6r^2+11r-10=0

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Solution for 6r^2+11r-10=0 equation:


Simplifying
6r2 + 11r + -10 = 0

Reorder the terms:
-10 + 11r + 6r2 = 0

Solving
-10 + 11r + 6r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-5 + -2r)(2 + -3r) = 0

Subproblem 1

Set the factor '(-5 + -2r)' equal to zero and attempt to solve: Simplifying -5 + -2r = 0 Solving -5 + -2r = 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 + -2r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2r = 0 + 5 -2r = 0 + 5 Combine like terms: 0 + 5 = 5 -2r = 5 Divide each side by '-2'. r = -2.5 Simplifying r = -2.5

Subproblem 2

Set the factor '(2 + -3r)' equal to zero and attempt to solve: Simplifying 2 + -3r = 0 Solving 2 + -3r = 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 + -3r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3r = 0 + -2 -3r = 0 + -2 Combine like terms: 0 + -2 = -2 -3r = -2 Divide each side by '-3'. r = 0.6666666667 Simplifying r = 0.6666666667

Solution

r = {-2.5, 0.6666666667}

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