Solve 18r-10r-20r^2r 9r=18

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Type your math problem... 18r-10r-20r^2r 9r=18

Question

Solve the equation

r \in / R

Alternative Form

No real solution

Evaluate

18 r - 10 r - 20 r^{2} \times r \times 9 r = 18

Simplify

More Steps

Evaluate

18 r - 10 r - 20 r^{2} \times r \times 9 r

Multiply

More Steps

Multiply the terms

- 20 r^{2} \times r \times 9 r

Multiply the terms

- 180 r^{2} \times r \times r

Multiply the terms with the same base by adding their exponents

- 180 r^{2 + 1 + 1}

Add the numbers

- 180 r^{4}

18 r - 10 r - 180 r^{4}

Subtract the terms

More Steps

Evaluate

18 r - 10 r

Collect like terms by calculating the sum or difference of their coefficients

(18 - 10) r

Subtract the numbers

8 r

8 r - 180 r^{4}

8 r - 180 r^{4} = 18

Move the expression to the left side

8 r - 180 r^{4} - 18 = 0

Factor the expression

2 (4 r - 90 r^{4} - 9) = 0

Divide both sides

4 r - 90 r^{4} - 9 = 0

Solution

r \in / R

Alternative Form

No real solution

Show Solution

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