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Simplifying
5x2 + -10 = x2 + 71
Reorder the terms:
-10 + 5x2 = x2 + 71
Reorder the terms:
-10 + 5x2 = 71 + x2
Solving
-10 + 5x2 = 71 + 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.
-10 + 5x2 + -1x2 = 71 + x2 + -1x2
Combine like terms: 5x2 + -1x2 = 4x2
-10 + 4x2 = 71 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
-10 + 4x2 = 71 + 0
-10 + 4x2 = 71
Add '10' to each side of the equation.
-10 + 10 + 4x2 = 71 + 10
Combine like terms: -10 + 10 = 0
0 + 4x2 = 71 + 10
4x2 = 71 + 10
Combine like terms: 71 + 10 = 81
4x2 = 81
Divide each side by '4'.
x2 = 20.25
Simplifying
x2 = 20.25
Take the square root of each side:
x = {-4.5, 4.5}
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