## By factoring what is the answer and steps to the equation: 3r^2+8r-3=0

Question

By factoring what is the answer and steps to the equation:
3r^2+8r-3=0

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1 month 2021-10-22T05:41:47+00:00 1 Answer 0 views 0

Simplifying

3r2 + 8r + -3 = 0

Reorder the terms:

-3 + 8r + 3r2 = 0

Solving

-3 + 8r + 3r2 = 0

Solving for variable ‘r’.

Factor a trinomial.

(-3 + -1r)(1 + -3r) = 0

Subproblem 1

Set the factor ‘(-3 + -1r)’ equal to zero and attempt to solve:

Simplifying

-3 + -1r = 0

Solving

-3 + -1r = 0

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

Add ‘3’ to each side of the equation.

-3 + 3 + -1r = 0 + 3

Combine like terms: -3 + 3 = 0

0 + -1r = 0 + 3

-1r = 0 + 3

Combine like terms: 0 + 3 = 3

-1r = 3

Divide each side by ‘-1’.

r = -3

Simplifying

r = -3

Subproblem 2

Set the factor ‘(1 + -3r)’ equal to zero and attempt to solve:

Simplifying

1 + -3r = 0

Solving

1 + -3r = 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 + -3r = 0 + -1

Combine like terms: 1 + -1 = 0

0 + -3r = 0 + -1

-3r = 0 + -1

Combine like terms: 0 + -1 = -1

-3r = -1

Divide each side by ‘-3’.

r = 0.3333333333

Simplifying

r = 0.3333333333

Solution

r = {-3, 0.3333333333}

Step-by-step explanation:

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