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

Answers ( )

    0
    2021-10-22T05:43:43+00:00

    Answer:

    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:

    The answer is on top!! 🙂

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