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Simplifying
4x + 13 = x2 + 4x + 4
Reorder the terms:
13 + 4x = x2 + 4x + 4
Reorder the terms:
13 + 4x = 4 + 4x + x2
Add '-4x' to each side of the equation.
13 + 4x + -4x = 4 + 4x + -4x + x2
Combine like terms: 4x + -4x = 0
13 + 0 = 4 + 4x + -4x + x2
13 = 4 + 4x + -4x + x2
Combine like terms: 4x + -4x = 0
13 = 4 + 0 + x2
13 = 4 + x2
Solving
13 = 4 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
13 + -1x2 = 4 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
13 + -1x2 = 4 + 0
13 + -1x2 = 4
Add '-13' to each side of the equation.
13 + -13 + -1x2 = 4 + -13
Combine like terms: 13 + -13 = 0
0 + -1x2 = 4 + -13
-1x2 = 4 + -13
Combine like terms: 4 + -13 = -9
-1x2 = -9
Divide each side by '-1'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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