7r(9r)+7r(t)=

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Solution for 7r(9r)+7r(t)= equation: 


Simplifying
7r(9r) + 7r(t) = 0

Remove parenthesis around (9r)
7r * 9r + 7r(t) = 0

Reorder the terms for easier multiplication:
7 * 9r * r + 7r(t) = 0

Multiply 7 * 9
63r * r + 7r(t) = 0

Multiply r * r
63r2 + 7r(t) = 0

Multiply r * t
63r2 + 7rt = 0

Reorder the terms:
7rt + 63r2 = 0

Solving
7rt + 63r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '7r'.
7r(t + 9r) = 0

Ignore the factor 7.

Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0

Subproblem 2
Set the factor '(t + 9r)' equal to zero and attempt to solve:

Simplifying
t + 9r = 0

Reorder the terms:
9r + t = 0

Solving
9r + t = 0

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

Add '-1t' to each side of the equation.
9r + t + -1t = 0 + -1t

Combine like terms: t + -1t = 0
9r + 0 = 0 + -1t
9r = 0 + -1t
Remove the zero:
9r = -1t

Divide each side by '9'.
r = -0.1111111111t

Simplifying
r = -0.1111111111t
Solution
r = {0, -0.1111111111t}

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