Solving Multi-Step Equations

Okay, now we can fully take advantage of inverse operations. Take a look at the example below.

3x² + 7 = 19

Here we're going to use three steps of inverse operations. The SA tells us to clear all addition and subtraction first. That is,

3x² + 7 - 7 = 19 - 7

3x² = 12

Now we clear all the DM, or division and multiplication,

3x² ÷ 3 = 12 ÷ 3

x² = 4

Following that, we can clear E, or our exponents,

$\small \sqrt {x^2} = \sqrt {4}$

x = ±2

And it's that simple!