What is 2x^2-4x+6+4x^2+5x-7 ?

The solution to 2x^2-4x+6+4x^2+5x-7 is 6x^2+x-1

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simplify 2x^2-4x+6+4x^2+5x-7

simplify

2 x^{2} - 4 x + 6 + 4 x^{2} + 5 x - 7

6 x^{2} + x - 1

Solution steps

2 x^{2} - 4 x + 6 + 4 x^{2} + 5 x - 7

Group like terms

= 2 x^{2} + 4 x^{2} - 4 x + 5 x + 6 - 7

Add similar elements:

2 x^{2} + 4 x^{2} = 6 x^{2}

= 6 x^{2} - 4 x + 5 x + 6 - 7

Add similar elements:

- 4 x + 5 x = x

= 6 x^{2} + x + 6 - 7

Subtract the numbers:

6 - 7 = - 1

= 6 x^{2} + x - 1

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