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Simplifying
3x2 + 9x + 21 = 9x + 48
Reorder the terms:
21 + 9x + 3x2 = 9x + 48
Reorder the terms:
21 + 9x + 3x2 = 48 + 9x
Add '-9x' to each side of the equation.
21 + 9x + -9x + 3x2 = 48 + 9x + -9x
Combine like terms: 9x + -9x = 0
21 + 0 + 3x2 = 48 + 9x + -9x
21 + 3x2 = 48 + 9x + -9x
Combine like terms: 9x + -9x = 0
21 + 3x2 = 48 + 0
21 + 3x2 = 48
Solving
21 + 3x2 = 48
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-21' to each side of the equation.
21 + -21 + 3x2 = 48 + -21
Combine like terms: 21 + -21 = 0
0 + 3x2 = 48 + -21
3x2 = 48 + -21
Combine like terms: 48 + -21 = 27
3x2 = 27
Divide each side by '3'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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