What is 4(-5)^2+6(-5)-9 ?

The solution to 4(-5)^2+6(-5)-9 is 61

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4(-5)^2+6(-5)-9

4 (- 5)^{2} + 6 (- 5) - 9

61

Solution steps

4 (- 5)^{2} + 6 (- 5) - 9

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

= 4 \cdot 25 + 6 (- 5) - 9

Multiply and divide (left to right)

4 \cdot 25 : 100

4 \cdot 25

4 \cdot 25 = 100

= 100

= 100 + 6 (- 5) - 9

Multiply and divide (left to right)

6 (- 5) : - 30

6 (- 5)

Apply rule

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

6 (- 5) = - 6 \cdot 5 = - 30

= - 30

= 100 - 30 - 9

Add and subtract (left to right)

100 - 30 - 9 : 61

100 - 30 - 9

100 - 30 = 70

= 70 - 9

70 - 9 = 61

= 61

= 61

6 \div (6 - 4) \times 3

(- 6) - (+ 7) - (- 5)

2 - \frac{1}{2} (- 5)

- 5 - 2 - 4

- 2 - 2 (- 2)