The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

y² + 2y - 2 = -4y + 5
y² + 2y - 2 - 5 = -4y
y² + 2y + 4y - 7 = 0
y² + 6y - 7 = 0

Next, factor the quadratic equation:

y² + 6y - 7 = 0
(y - 1)(y + 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 1) or (y + 7) must equal zero:

If (y - 1) = 0, y must equal 1
If (y + 7) = 0, y must equal -7

So the solution is that y = 1 or -7

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(7a)(6ab) - (5a²)(2b)
(7 x 6)(a x a x b) - (5 x 2)(a² x b)
(42)(a¹⁺¹ x b) - (10)(a²b)
42a²b - 10a²b
32a²b

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(4a)(3ab) + (9a²)(2b)
(4 x 3)(a x a x b) + (9 x 2)(a² x b)
(12)(a¹⁺¹ x b) + (18)(a²b)
12a²b + 18a²b
30a²b

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.