75=x*x-10

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Solution for 75=x*x-10 equation:


Simplifying
75 = x * x + -10

Multiply x * x
75 = x2 + -10

Reorder the terms:
75 = -10 + x2

Solving
75 = -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.
75 + -1x2 = -10 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
75 + -1x2 = -10 + 0
75 + -1x2 = -10

Add '-75' to each side of the equation.
75 + -75 + -1x2 = -10 + -75

Combine like terms: 75 + -75 = 0
0 + -1x2 = -10 + -75
-1x2 = -10 + -75

Combine like terms: -10 + -75 = -85
-1x2 = -85

Divide each side by '-1'.
x2 = 85

Simplifying
x2 = 85

Take the square root of each side:
x = {-9.219544457, 9.219544457}

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