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Simplifying 7r2 + 39r + -70 = 0 Reorder the terms: -70 + 39r + 7r2 = 0 Solving -70 + 39r + 7r2 = 0 Solving for variable 'r'. Factor a trinomial. (-7 + -1r)(10 + -7r) = 0Subproblem 1
Set the factor '(-7 + -1r)' equal to zero and attempt to solve: Simplifying -7 + -1r = 0 Solving -7 + -1r = 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 + -1r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1r = 0 + 7 -1r = 0 + 7 Combine like terms: 0 + 7 = 7 -1r = 7 Divide each side by '-1'. r = -7 Simplifying r = -7Subproblem 2
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 = 1.428571429Solution
r = {-7, 1.428571429}
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