9r^2-3-26r=

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Solution for 9r^2-3-26r= equation:


Simplifying
9r2 + -3 + -26r = 0

Reorder the terms:
-3 + -26r + 9r2 = 0

Solving
-3 + -26r + 9r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-1 + -9r)(3 + -1r) = 0

Subproblem 1

Set the factor '(-1 + -9r)' equal to zero and attempt to solve: Simplifying -1 + -9r = 0 Solving -1 + -9r = 0 Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -9r = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -9r = 0 + 1 -9r = 0 + 1 Combine like terms: 0 + 1 = 1 -9r = 1 Divide each side by '-9'. r = -0.1111111111 Simplifying r = -0.1111111111

Subproblem 2

Set the factor '(3 + -1r)' equal to zero and attempt to solve: Simplifying 3 + -1r = 0 Solving 3 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1r = 0 + -3 -1r = 0 + -3 Combine like terms: 0 + -3 = -3 -1r = -3 Divide each side by '-1'. r = 3 Simplifying r = 3

Solution

r = {-0.1111111111, 3}

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