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Simplifying
4x2 + 5 = x2 + 437
Reorder the terms:
5 + 4x2 = x2 + 437
Reorder the terms:
5 + 4x2 = 437 + x2
Solving
5 + 4x2 = 437 + 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.
5 + 4x2 + -1x2 = 437 + x2 + -1x2
Combine like terms: 4x2 + -1x2 = 3x2
5 + 3x2 = 437 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
5 + 3x2 = 437 + 0
5 + 3x2 = 437
Add '-5' to each side of the equation.
5 + -5 + 3x2 = 437 + -5
Combine like terms: 5 + -5 = 0
0 + 3x2 = 437 + -5
3x2 = 437 + -5
Combine like terms: 437 + -5 = 432
3x2 = 432
Divide each side by '3'.
x2 = 144
Simplifying
x2 = 144
Take the square root of each side:
x = {-12, 12}
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