77r^2+89r-30=

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Solution for 77r^2+89r-30= equation:


Simplifying
77r2 + 89r + -30 = 0

Reorder the terms:
-30 + 89r + 77r2 = 0

Solving
-30 + 89r + 77r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-10 + -7r)(3 + -11r) = 0

Subproblem 1

Set the factor '(-10 + -7r)' equal to zero and attempt to solve: Simplifying -10 + -7r = 0 Solving -10 + -7r = 0 Move all terms containing r to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -7r = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -7r = 0 + 10 -7r = 0 + 10 Combine like terms: 0 + 10 = 10 -7r = 10 Divide each side by '-7'. r = -1.428571429 Simplifying r = -1.428571429

Subproblem 2

Set the factor '(3 + -11r)' equal to zero and attempt to solve: Simplifying 3 + -11r = 0 Solving 3 + -11r = 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 + -11r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -11r = 0 + -3 -11r = 0 + -3 Combine like terms: 0 + -3 = -3 -11r = -3 Divide each side by '-11'. r = 0.2727272727 Simplifying r = 0.2727272727

Solution

r = {-1.428571429, 0.2727272727}

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