Solve for x. Enter the solutions from least to greatest.
(x + 7)^2 - 49 = 0

x = -14, 0

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Completing the SquareMultiple Roots/Solutions

Step-by-step explanation:

Step 1: Define

(x + 7)² - 49 = 0

Step 2: Solve for x

Add 49 to both sides:                    (x + 7)² = 49Square root both sides:                 x + 7 = ±7Subtract 7 on both sides:               x = -7 ± 7Evaluate:                                         x = -14, 0

Step 3: Check

Plug in x values into original equation to verify they are a solution.

x = -14

Substitute in x:                    (-14 + 7)² - 49 = 0Add:                                     (-7)² - 49 = 0Exponents:                          49 - 49 = 0Subtract:                              0 = 0

Here we see that 0 does indeed equal 0.

∴ x = -14 is a solution of the equation

x = 0

Substitute in x:                    (0 + 7)² - 49 = 0Add:                                     7² - 49 = 0Exponents:                          49 - 49 = 0Subtract:                              0 = 0

Here we see that 0 does indeed equal 0.

∴ x = 0 is also a solution of the equation.