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Simplifying 7r2 + 48r + -7 = 0 Reorder the terms: -7 + 48r + 7r2 = 0 Solving -7 + 48r + 7r2 = 0 Solving for variable 'r'. Factor a trinomial. (-7 + -1r)(1 + -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 '(1 + -7r)' equal to zero and attempt to solve: Simplifying 1 + -7r = 0 Solving 1 + -7r = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7r = 0 + -1 -7r = 0 + -1 Combine like terms: 0 + -1 = -1 -7r = -1 Divide each side by '-7'. r = 0.1428571429 Simplifying r = 0.1428571429Solution
r = {-7, 0.1428571429}
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