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Simplifying
x2 + -10 = 7 + -5x2
Reorder the terms:
-10 + x2 = 7 + -5x2
Solving
-10 + x2 = 7 + -5x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '5x2' to each side of the equation.
-10 + x2 + 5x2 = 7 + -5x2 + 5x2
Combine like terms: x2 + 5x2 = 6x2
-10 + 6x2 = 7 + -5x2 + 5x2
Combine like terms: -5x2 + 5x2 = 0
-10 + 6x2 = 7 + 0
-10 + 6x2 = 7
Add '10' to each side of the equation.
-10 + 10 + 6x2 = 7 + 10
Combine like terms: -10 + 10 = 0
0 + 6x2 = 7 + 10
6x2 = 7 + 10
Combine like terms: 7 + 10 = 17
6x2 = 17
Divide each side by '6'.
x2 = 2.833333333
Simplifying
x2 = 2.833333333
Take the square root of each side:
x = {-1.683250823, 1.683250823}
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