Solve for x: 2x + 4 - X=-3x + 12*
Your answer

x = 2

Step-by-step explanation:

2x + 4 - x = -3x + 12

x + 4 = -3x + 12 ^ Combine like-terms

4x + 4 = 12 ^ Addition Property of Equality

4x = 8 ^ Subtraction Property of Equality

x = 2 ^ Division Property of Equality

2x² + 3x + 4 + (17x + 9) / (x² − 4)

Step-by-step explanation:

Start by setting up the division.  Make sure to write all the coefficients, even the zero ones.

x² + 0x − 4 | 2x⁴ + 3x³ − 4x² + 5x − 7

Start by dividing the first term of the dividend (2x⁴) by the first term of the divisor (x²).  That's 2x²; it'll be the first term in quotient.  Multiply the divisor by 2x²:

2x⁴ + 0x³ − 8x²

Subtract that from the first three terms of the dividend:

3x³ + 4x²

Drop down the next term from the dividend, and start the process all over again.

3x³ + 4x² + 5x

When you finish, the quotient will be 2x² + 3x + 4, and the remainder will be 17x + 9.