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Simplifying
288 = 6x2 + 30
Reorder the terms:
288 = 30 + 6x2
Solving
288 = 30 + 6x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x2' to each side of the equation.
288 + -6x2 = 30 + 6x2 + -6x2
Combine like terms: 6x2 + -6x2 = 0
288 + -6x2 = 30 + 0
288 + -6x2 = 30
Add '-288' to each side of the equation.
288 + -288 + -6x2 = 30 + -288
Combine like terms: 288 + -288 = 0
0 + -6x2 = 30 + -288
-6x2 = 30 + -288
Combine like terms: 30 + -288 = -258
-6x2 = -258
Divide each side by '-6'.
x2 = 43
Simplifying
x2 = 43
Take the square root of each side:
x = {-6.557438524, 6.557438524}
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