(R-7)(R+8)=0

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Solution for (R-7)(R+8)=0 equation: 


Simplifying
(R + -7)(R + 8) = 0

Reorder the terms:
(-7 + R)(R + 8) = 0

Reorder the terms:
(-7 + R)(8 + R) = 0

Multiply (-7 + R) * (8 + R)
(-7(8 + R) + R(8 + R)) = 0
((8 * -7 + R * -7) + R(8 + R)) = 0
((-56 + -7R) + R(8 + R)) = 0
(-56 + -7R + (8 * R + R * R)) = 0
(-56 + -7R + (8R + R2)) = 0

Combine like terms: -7R + 8R = 1R
(-56 + 1R + R2) = 0

Solving
-56 + 1R + R2 = 0

Solving for variable 'R'.

Factor a trinomial.
(-8 + -1R)(7 + -1R) = 0


Subproblem 1
Set the factor '(-8 + -1R)' equal to zero and attempt to solve:

Simplifying
-8 + -1R = 0

Solving
-8 + -1R = 0

Move all terms containing R to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + -1R = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1R = 0 + 8
-1R = 0 + 8

Combine like terms: 0 + 8 = 8
-1R = 8

Divide each side by '-1'.
R = -8

Simplifying
R = -8

Subproblem 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 = 7
Solution
R = {-8, 7}

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