4r^2-35r-9=

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Solution for 4r^2-35r-9= equation:


Simplifying
4r2 + -35r + -9 = 0

Reorder the terms:
-9 + -35r + 4r2 = 0

Solving
-9 + -35r + 4r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-1 + -4r)(9 + -1r) = 0

Subproblem 1

Set the factor '(-1 + -4r)' equal to zero and attempt to solve: Simplifying -1 + -4r = 0 Solving -1 + -4r = 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 + -4r = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4r = 0 + 1 -4r = 0 + 1 Combine like terms: 0 + 1 = 1 -4r = 1 Divide each side by '-4'. r = -0.25 Simplifying r = -0.25

Subproblem 2

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

Solution

r = {-0.25, 9}

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