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Simplifying 7r2 + 2 = -15r Reorder the terms: 2 + 7r2 = -15r Solving 2 + 7r2 = -15r Solving for variable 'r'. Reorder the terms: 2 + 15r + 7r2 = -15r + 15r Combine like terms: -15r + 15r = 0 2 + 15r + 7r2 = 0 Factor a trinomial. (2 + r)(1 + 7r) = 0Subproblem 1
Set the factor '(2 + r)' equal to zero and attempt to solve: Simplifying 2 + r = 0 Solving 2 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + r = 0 + -2 r = 0 + -2 Combine like terms: 0 + -2 = -2 r = -2 Simplifying r = -2Subproblem 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 = {-2, -0.1428571429}
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