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Simplifying
3x2 + 6x + -24 = 6x + 24
Reorder the terms:
-24 + 6x + 3x2 = 6x + 24
Reorder the terms:
-24 + 6x + 3x2 = 24 + 6x
Add '-6x' to each side of the equation.
-24 + 6x + -6x + 3x2 = 24 + 6x + -6x
Combine like terms: 6x + -6x = 0
-24 + 0 + 3x2 = 24 + 6x + -6x
-24 + 3x2 = 24 + 6x + -6x
Combine like terms: 6x + -6x = 0
-24 + 3x2 = 24 + 0
-24 + 3x2 = 24
Solving
-24 + 3x2 = 24
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '24' to each side of the equation.
-24 + 24 + 3x2 = 24 + 24
Combine like terms: -24 + 24 = 0
0 + 3x2 = 24 + 24
3x2 = 24 + 24
Combine like terms: 24 + 24 = 48
3x2 = 48
Divide each side by '3'.
x2 = 16
Simplifying
x2 = 16
Take the square root of each side:
x = {-4, 4}
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