To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

2a² + 5a² = 7a²

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.

-c + 7 < -6 + 2c
-c < -6 + 2c - 7
-c - 2c < -6 - 7
-3c < -13
c < \( \frac{-13}{-3} \)
c < 4\(\frac{1}{3}\)

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).

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 + 6y + 29 = -5y - 1
y² + 6y + 29 + 1 = -5y
y² + 6y + 5y + 30 = 0
y² + 11y + 30 = 0

Next, factor the quadratic equation:

y² + 11y + 30 = 0
(y + 5)(y + 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 5) or (y + 6) must equal zero:

If (y + 5) = 0, y must equal -5
If (y + 6) = 0, y must equal -6

So the solution is that y = -5 or -6

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.