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Simplifying
14(r + 7)(r + -7) = 0
Reorder the terms:
14(7 + r)(r + -7) = 0
Reorder the terms:
14(7 + r)(-7 + r) = 0
Multiply (7 + r) * (-7 + r)
14(7(-7 + r) + r(-7 + r)) = 0
14((-7 * 7 + r * 7) + r(-7 + r)) = 0
14((-49 + 7r) + r(-7 + r)) = 0
14(-49 + 7r + (-7 * r + r * r)) = 0
14(-49 + 7r + (-7r + r2)) = 0
Combine like terms: 7r + -7r = 0
14(-49 + 0 + r2) = 0
14(-49 + r2) = 0
(-49 * 14 + r2 * 14) = 0
(-686 + 14r2) = 0
Solving
-686 + 14r2 = 0
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '686' to each side of the equation.
-686 + 686 + 14r2 = 0 + 686
Combine like terms: -686 + 686 = 0
0 + 14r2 = 0 + 686
14r2 = 0 + 686
Combine like terms: 0 + 686 = 686
14r2 = 686
Divide each side by '14'.
r2 = 49
Simplifying
r2 = 49
Take the square root of each side:
r = {-7, 7}
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