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Simplifying
3x + 12 = x2 + 3x
Reorder the terms:
12 + 3x = x2 + 3x
Reorder the terms:
12 + 3x = 3x + x2
Add '-3x' to each side of the equation.
12 + 3x + -3x = 3x + -3x + x2
Combine like terms: 3x + -3x = 0
12 + 0 = 3x + -3x + x2
12 = 3x + -3x + x2
Combine like terms: 3x + -3x = 0
12 = 0 + x2
12 = x2
Solving
12 = 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.
12 + -1x2 = x2 + -1x2
Combine like terms: x2 + -1x2 = 0
12 + -1x2 = 0
Add '-12' to each side of the equation.
12 + -12 + -1x2 = 0 + -12
Combine like terms: 12 + -12 = 0
0 + -1x2 = 0 + -12
-1x2 = 0 + -12
Combine like terms: 0 + -12 = -12
-1x2 = -12
Divide each side by '-1'.
x2 = 12
Simplifying
x2 = 12
Take the square root of each side:
x = {-3.464101615, 3.464101615}
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