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For this we will use the FOIL Method. This stands for Front, Outside, Inside, Last. This helps us to check that we have multipled everything. For example, lets use (x+1)(2x+3): Multiply the first terms: x...

Solve for x, between 0 and 360 degrees, 4cos² (x) + 7sin (x) – 2 = 0 The way to approach this problem is to understand th...

(4x + 3)/(x + 1) + 2 = 8

Firstly minus the 2 from both sides

(4x + 3)/(x + 1) = 6

Then multiply both sides by the denominator (x + 1)

4x + 3 = 6(x + 1)

Expand the bracke...

The equation of a circle is (x-a)^2 + (y-b)^2 = r^2, where (a,b) is the centre of the circle, and r is the radius. To condense our equation into this form we have to use the technique of completing the sq...

Let's solve for x first by substituting y in terms of x.

4x-y=30

y=4x-30

3x+2y=3x+2(4x-30)=3x+8x-60=11x-60

11x-60=17

11x=77

x=7

Now let's solve for y by su...