3r^2-7r-28=-8

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Solution for 3r^2-7r-28=-8 equation:


Simplifying
3r2 + -7r + -28 = -8

Reorder the terms:
-28 + -7r + 3r2 = -8

Solving
-28 + -7r + 3r2 = -8

Solving for variable 'r'.

Reorder the terms:
-28 + 8 + -7r + 3r2 = -8 + 8

Combine like terms: -28 + 8 = -20
-20 + -7r + 3r2 = -8 + 8

Combine like terms: -8 + 8 = 0
-20 + -7r + 3r2 = 0

Factor a trinomial.
(-5 + -3r)(4 + -1r) = 0

Subproblem 1

Set the factor '(-5 + -3r)' equal to zero and attempt to solve: Simplifying -5 + -3r = 0 Solving -5 + -3r = 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 + -3r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3r = 0 + 5 -3r = 0 + 5 Combine like terms: 0 + 5 = 5 -3r = 5 Divide each side by '-3'. r = -1.666666667 Simplifying r = -1.666666667

Subproblem 2

Set the factor '(4 + -1r)' equal to zero and attempt to solve: Simplifying 4 + -1r = 0 Solving 4 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 0 + -4 -1r = 0 + -4 Combine like terms: 0 + -4 = -4 -1r = -4 Divide each side by '-1'. r = 4 Simplifying r = 4

Solution

r = {-1.666666667, 4}

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