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Simplifying -1r2 = 49 + -14r Solving -1r2 = 49 + -14r Solving for variable 'r'. Reorder the terms: -49 + 14r + -1r2 = 49 + -14r + -49 + 14r Reorder the terms: -49 + 14r + -1r2 = 49 + -49 + -14r + 14r Combine like terms: 49 + -49 = 0 -49 + 14r + -1r2 = 0 + -14r + 14r -49 + 14r + -1r2 = -14r + 14r Combine like terms: -14r + 14r = 0 -49 + 14r + -1r2 = 0 Factor a trinomial. (-7 + r)(7 + -1r) = 0Subproblem 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 = 7Subproblem 2
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 = 7Solution
r = {7, 7}
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