2r^2-11r=63

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Solution for 2r^2-11r=63 equation:


Simplifying
2r2 + -11r = 63

Reorder the terms:
-11r + 2r2 = 63

Solving
-11r + 2r2 = 63

Solving for variable 'r'.

Reorder the terms:
-63 + -11r + 2r2 = 63 + -63

Combine like terms: 63 + -63 = 0
-63 + -11r + 2r2 = 0

Factor a trinomial.
(-7 + -2r)(9 + -1r) = 0

Subproblem 1

Set the factor '(-7 + -2r)' equal to zero and attempt to solve: Simplifying -7 + -2r = 0 Solving -7 + -2r = 0 Move all terms containing r to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2r = 0 + 7 -2r = 0 + 7 Combine like terms: 0 + 7 = 7 -2r = 7 Divide each side by '-2'. r = -3.5 Simplifying r = -3.5

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 = {-3.5, 9}

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