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Simplifying
4x2 + -10 = 54
Reorder the terms:
-10 + 4x2 = 54
Solving
-10 + 4x2 = 54
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 4x2 = 54 + 10
Combine like terms: -10 + 10 = 0
0 + 4x2 = 54 + 10
4x2 = 54 + 10
Combine like terms: 54 + 10 = 64
4x2 = 64
Divide each side by '4'.
x2 = 16
Simplifying
x2 = 16
Take the square root of each side:
x = {-4, 4}
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