65=x*x-10

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Solution for 65=x*x-10 equation:


Simplifying
65 = x * x + -10

Multiply x * x
65 = x2 + -10

Reorder the terms:
65 = -10 + x2

Solving
65 = -10 + 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.
65 + -1x2 = -10 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
65 + -1x2 = -10 + 0
65 + -1x2 = -10

Add '-65' to each side of the equation.
65 + -65 + -1x2 = -10 + -65

Combine like terms: 65 + -65 = 0
0 + -1x2 = -10 + -65
-1x2 = -10 + -65

Combine like terms: -10 + -65 = -75
-1x2 = -75

Divide each side by '-1'.
x2 = 75

Simplifying
x2 = 75

Take the square root of each side:
x = {-8.660254038, 8.660254038}

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