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Solve 7x-4=8+5x

First bring all the x terms to one side by taking 5x from each side, this gives 2x-4=8. Now put all the number terms on the other side by adding 4 to each side, this gives 2x=12. We can now divide both sides...
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Answered by Angus M. Maths tutor
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Factorize the following expression and solve for x: X^2 +7X +10=0

Answer: (X+5)(X+2)=0 X=-5 or -2 We first look for to numbers that multiply together to make 10 (1 and 10, 2 and 5 are the only pairs) We choose the pair which also adds together to the 2nd term, 7. We can th...
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Answered by James H. Maths tutor
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Express 60 as a product of its prime factors.

We divide 60 by 2 as many times as possible to get 60 = 15 x 2 x 2. 2 is a prime number so we don't need to break the 2's down any more. Instead we break 15 down. 15 doesn't divide by 2 so we try the next pr...
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Answered by Aidan H. Maths tutor
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Please sketch and factorize the quadratic 3x^2+10x+3.

The coefficient - which is a posh word for 'the bit in front' - of x^2 is in this case not 1. Thus, the quadratic formula must necessarily be used. All quadratics come in the form of ax^2+bx+c. Here, a, b, a...
JH
Answered by Jack H. Maths tutor
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Make F the subject of the formula: C= 5(F-32) / 9

The first step to making F the subject of this formula is multiplying both sides by 9 to get rid of the denominator on the right hand side. Therefore, 9C= 5(F-32) 2. Secondly, we have to divide both sides by...
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Answered by Sofia H. Maths tutor
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