(5r-9)(-r+7)=0

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Solution for (5r-9)(-r+7)=0 equation:


Simplifying
(5r + -9)(-1r + 7) = 0

Reorder the terms:
(-9 + 5r)(-1r + 7) = 0

Reorder the terms:
(-9 + 5r)(7 + -1r) = 0

Multiply (-9 + 5r) * (7 + -1r)
(-9(7 + -1r) + 5r * (7 + -1r)) = 0
((7 * -9 + -1r * -9) + 5r * (7 + -1r)) = 0
((-63 + 9r) + 5r * (7 + -1r)) = 0
(-63 + 9r + (7 * 5r + -1r * 5r)) = 0
(-63 + 9r + (35r + -5r2)) = 0

Combine like terms: 9r + 35r = 44r
(-63 + 44r + -5r2) = 0

Solving
-63 + 44r + -5r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-7 + r)(9 + -5r) = 0

Subproblem 1

Set the factor '(-7 + r)' equal to zero and attempt to solve: Simplifying -7 + r = 0 Solving -7 + r = 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 + r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + r = 0 + 7 r = 0 + 7 Combine like terms: 0 + 7 = 7 r = 7 Simplifying r = 7

Subproblem 2

Set the factor '(9 + -5r)' equal to zero and attempt to solve: Simplifying 9 + -5r = 0 Solving 9 + -5r = 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 + -5r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5r = 0 + -9 -5r = 0 + -9 Combine like terms: 0 + -9 = -9 -5r = -9 Divide each side by '-5'. r = 1.8 Simplifying r = 1.8

Solution

r = {7, 1.8}

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