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Simplifying
-5x2 + 24 + 27 = 0
Reorder the terms:
24 + 27 + -5x2 = 0
Combine like terms: 24 + 27 = 51
51 + -5x2 = 0
Solving
51 + -5x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-51' to each side of the equation.
51 + -51 + -5x2 = 0 + -51
Combine like terms: 51 + -51 = 0
0 + -5x2 = 0 + -51
-5x2 = 0 + -51
Combine like terms: 0 + -51 = -51
-5x2 = -51
Divide each side by '-5'.
x2 = 10.2
Simplifying
x2 = 10.2
Take the square root of each side:
x = {-3.193743885, 3.193743885}
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