What is (2(-5)^2-3)/(-4(-5)+5) ?

The solution to (2(-5)^2-3)/(-4(-5)+5) is 1 22/25

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Popular >

(2(-5)^2-3)/(-4(-5)+5)

Solution

\frac{2 ( - 5 ) ^{2} - 3}{- 4 ( - 5 ) + 5}

Solution

1 \frac{22}{25}

Solution steps

\frac{2 ( - 5 ) ^{2} - 3}{- 4 ( - 5 ) + 5}

Solve

2 (- 5)^{2} - 3 : 47

Follow the PEMDAS order of operations

Calculate exponents

(- 5)^{2} : 25

(- 5)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 5)^{2} = 5^{2} = 25

= 25

= 2 \cdot 25 - 3

Multiply and divide (left to right)

2 \cdot 25 : 50

2 \cdot 25

2 \cdot 25 = 50

= 50

= 50 - 3

Add and subtract (left to right)

50 - 3 : 47

50 - 3

50 - 3 = 47

= 47

= 47

Solve

- 4 (- 5) + 5 : 25

Follow the PEMDAS order of operations

Multiply and divide (left to right)

- 4 (- 5) : 20

- 4 (- 5)

Apply rule

- a \cdot (- b) = a \cdot b

- 4 (- 5) = 4 \cdot 5 = 20

= 20

= 20 + 5

Add and subtract (left to right)

20 + 5 : 25

20 + 5

20 + 5 = 25

= 25

= 25

= \frac{47}{25}

Convert improper fractions to mixed numbers:

\frac{47}{25} = 1 \frac{22}{25}

\frac{47}{25} = 1

Remainder

22

\frac{47}{25}

Write the problem in long division format

25 \overline{∣ 47}

Divide

47

25

to get

1

Divide

47

25

to get

1

1 25 \overline{∣ 47}

Multiply the quotient digit

(1)

by the divisor

25

1 25 \overline{∣ 47} \underline{25}

Subtract

25

from

47

1 25 \overline{∣ 47} \underline{25} 22

1 25 \overline{∣ 47} \underline{25} 22

The solution for Long Division of

\frac{47}{25}

1

with remainder of

22

1 Remainder 22

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{47}{25} = 1 \frac{22}{25}

= 1 \frac{22}{25}

= 1 \frac{22}{25}

Popular Examples

5/3 \div (2/5-1/6)

\frac{5}{3} \div (\frac{2}{5} - \frac{1}{6})

-2-4-10\div (-2)+14

- 2 - 4 - 10 \div (- 2) + 14

-1^2+2+8

- 1^{2} + 2 + 8

2-3\times (-2)

2 - 3 \times (- 2)

3530000-15700000\div 15700000

3530000 - 15700000 \div 15700000

Frequently Asked Questions (FAQ)

What is (2(-5)^2-3)/(-4(-5)+5) ?
The solution to (2(-5)^2-3)/(-4(-5)+5) is 1 22/25