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Simplifying
3x * x + -18 = x * x
Multiply x * x
3x2 + -18 = x * x
Reorder the terms:
-18 + 3x2 = x * x
Multiply x * x
-18 + 3x2 = x2
Solving
-18 + 3x2 = 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.
-18 + 3x2 + -1x2 = x2 + -1x2
Combine like terms: 3x2 + -1x2 = 2x2
-18 + 2x2 = x2 + -1x2
Combine like terms: x2 + -1x2 = 0
-18 + 2x2 = 0
Add '18' to each side of the equation.
-18 + 18 + 2x2 = 0 + 18
Combine like terms: -18 + 18 = 0
0 + 2x2 = 0 + 18
2x2 = 0 + 18
Combine like terms: 0 + 18 = 18
2x2 = 18
Divide each side by '2'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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