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Simplifying
8x2 + 531 = -2x2 + 571
Reorder the terms:
531 + 8x2 = -2x2 + 571
Reorder the terms:
531 + 8x2 = 571 + -2x2
Solving
531 + 8x2 = 571 + -2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2x2' to each side of the equation.
531 + 8x2 + 2x2 = 571 + -2x2 + 2x2
Combine like terms: 8x2 + 2x2 = 10x2
531 + 10x2 = 571 + -2x2 + 2x2
Combine like terms: -2x2 + 2x2 = 0
531 + 10x2 = 571 + 0
531 + 10x2 = 571
Add '-531' to each side of the equation.
531 + -531 + 10x2 = 571 + -531
Combine like terms: 531 + -531 = 0
0 + 10x2 = 571 + -531
10x2 = 571 + -531
Combine like terms: 571 + -531 = 40
10x2 = 40
Divide each side by '10'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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