10x^2-50=100

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Solution for 10x^2-50=100 equation:


Simplifying
10x2 + -50 = 100

Reorder the terms:
-50 + 10x2 = 100

Solving
-50 + 10x2 = 100

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '50' to each side of the equation.
-50 + 50 + 10x2 = 100 + 50

Combine like terms: -50 + 50 = 0
0 + 10x2 = 100 + 50
10x2 = 100 + 50

Combine like terms: 100 + 50 = 150
10x2 = 150

Divide each side by '10'.
x2 = 15

Simplifying
x2 = 15

Take the square root of each side:
x = {-3.872983346, 3.872983346}

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