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Simplifying
3(x2 + -9) = 0(2x)
Reorder the terms:
3(-9 + x2) = 0(2x)
(-9 * 3 + x2 * 3) = 0(2x)
(-27 + 3x2) = 0(2x)
Remove parenthesis around (2x)
-27 + 3x2 = 0 * 2x
Multiply 0 * 2
-27 + 3x2 = 0x
Anything times zero is zero.
-27 + 3x2 = 0x
Solving
-27 + 3x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '27' to each side of the equation.
-27 + 27 + 3x2 = 0 + 27
Combine like terms: -27 + 27 = 0
0 + 3x2 = 0 + 27
3x2 = 0 + 27
Combine like terms: 0 + 27 = 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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