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 equal sign and the answer on the other.

4x - 7 = \( \frac{x}{-6} \)
-6 x (4x - 7) = x
(-6 x 4x) + (-6 x -7) = x
-24x + 42 = x
-24x + 42 - x = 0
-24x - x = -42
-25x = -42
x = \( \frac{-42}{-25} \)
x = 1\(\frac{17}{25}\)

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:

b² - 3b - 1 = b + 4
b² - 3b - 1 - 4 = b
b² - 3b - b - 5 = 0
b² - 4b - 5 = 0

Next, factor the quadratic equation:

b² - 4b - 5 = 0
(b + 1)(b - 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 1) or (b - 5) must equal zero:

If (b + 1) = 0, b must equal -1
If (b - 5) = 0, b must equal 5

So the solution is that b = -1 or 5

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).

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.

8a⁸ - 2a⁸ = 6a⁸

The volume of a cylinder is πr²h:

v = πr²h
v = π(1² x 9)
v = 9π