What is 43-[((4\times 3))/(-6)]+[(36)/(-6)+42/7 ] ?

The solution to 43-[((4\times 3))/(-6)]+[(36)/(-6)+42/7 ] is 45

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simplify 43-[((4\times 3))/(-6)]+[(36)/(-6)+42/7 ]

simplify

43 - [\frac{( 4 \cdot 3 )}{- 6}] + [\frac{36}{- 6} + \frac{42}{7}]

45

Solution steps

43 - (\frac{4 \cdot 3}{- 6}) + (\frac{36}{- 6} + \frac{42}{7})

43 - (\frac{4 \cdot 3}{- 6}) + (\frac{36}{- 6} + \frac{42}{7}) = 43 - \frac{4 \cdot 3}{- 6} + \frac{36}{- 6} + \frac{42}{7}

43 - (\frac{4 \cdot 3}{- 6}) + (\frac{36}{- 6} + \frac{42}{7})

Apply rule:

- (a) = - a

- (\frac{4 \cdot 3}{- 6}) = - \frac{4 \cdot 3}{- 6}

= 43 - \frac{4 \cdot 3}{- 6} + (\frac{36}{- 6} + \frac{42}{7})

Apply rule:

a + (b + c) = a + b + c

- \frac{4 \cdot 3}{- 6} + (\frac{36}{- 6} + \frac{42}{7}) = - \frac{4 \cdot 3}{- 6} + \frac{36}{- 6} + \frac{42}{7}

= 43 - \frac{4 \cdot 3}{- 6} + \frac{36}{- 6} + \frac{42}{7}

= 43 - \frac{4 \cdot 3}{- 6} + \frac{36}{- 6} + \frac{42}{7}

\frac{4 \cdot 3}{- 6} = - 2

\frac{4 \cdot 3}{- 6}

Factor the number:

6 = 3 \cdot 2

= \frac{4 \cdot 3}{- 3 \cdot 2}

Cancel the common factor:

3

= \frac{4}{- 2}

Divide the numbers:

\frac{4}{- 2} = - 2

= - 2

\frac{36}{- 6} = - 6

\frac{36}{- 6}

Divide the numbers:

\frac{36}{- 6} = - 6

= - 6

\frac{42}{7} = 6

\frac{42}{7}

Divide the numbers:

\frac{42}{7} = 6

= 6

= 43 - (- 2) - 6 + 6

Apply rule:

a - (- b) = a + b

43 - (- 2) = 43 + 2

= 43 + 2 - 6 + 6

Add the numbers:

43 + 2 - 6 + 6 = 45

= 45

2^{2} - 4 \times (- 1) \times 4

13 + 42 \div 3 - 2 \times 3^{2}

9 - (0)^{2}

\frac{150 \times 6 + 50 \times 5}{200}

64 \div 4^{2} + 18

What is 43-[((4\times 3))/(-6)]+[(36)/(-6)+42/7 ] ?
The solution to 43-[((4\times 3))/(-6)]+[(36)/(-6)+42/7 ] is 45