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Simplifying
6x2 + -54 = 4x2 + 4 + -24
Reorder the terms:
-54 + 6x2 = 4x2 + 4 + -24
Reorder the terms:
-54 + 6x2 = 4 + -24 + 4x2
Combine like terms: 4 + -24 = -20
-54 + 6x2 = -20 + 4x2
Solving
-54 + 6x2 = -20 + 4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x2' to each side of the equation.
-54 + 6x2 + -4x2 = -20 + 4x2 + -4x2
Combine like terms: 6x2 + -4x2 = 2x2
-54 + 2x2 = -20 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
-54 + 2x2 = -20 + 0
-54 + 2x2 = -20
Add '54' to each side of the equation.
-54 + 54 + 2x2 = -20 + 54
Combine like terms: -54 + 54 = 0
0 + 2x2 = -20 + 54
2x2 = -20 + 54
Combine like terms: -20 + 54 = 34
2x2 = 34
Divide each side by '2'.
x2 = 17
Simplifying
x2 = 17
Take the square root of each side:
x = {-4.123105626, 4.123105626}
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