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Simplifying
8x2 + -5 = -2x2 + 85
Reorder the terms:
-5 + 8x2 = -2x2 + 85
Reorder the terms:
-5 + 8x2 = 85 + -2x2
Solving
-5 + 8x2 = 85 + -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.
-5 + 8x2 + 2x2 = 85 + -2x2 + 2x2
Combine like terms: 8x2 + 2x2 = 10x2
-5 + 10x2 = 85 + -2x2 + 2x2
Combine like terms: -2x2 + 2x2 = 0
-5 + 10x2 = 85 + 0
-5 + 10x2 = 85
Add '5' to each side of the equation.
-5 + 5 + 10x2 = 85 + 5
Combine like terms: -5 + 5 = 0
0 + 10x2 = 85 + 5
10x2 = 85 + 5
Combine like terms: 85 + 5 = 90
10x2 = 90
Divide each side by '10'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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