10x^2+20=100x^2-20-3

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Solution for 10x^2+20=100x^2-20-3 equation: 


Simplifying
10x2 + 20 = 100x2 + -20 + -3

Reorder the terms:
20 + 10x2 = 100x2 + -20 + -3

Reorder the terms:
20 + 10x2 = -20 + -3 + 100x2

Combine like terms: -20 + -3 = -23
20 + 10x2 = -23 + 100x2

Solving
20 + 10x2 = -23 + 100x2

Solving for variable 'x'.

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

Add '-100x2' to each side of the equation.
20 + 10x2 + -100x2 = -23 + 100x2 + -100x2

Combine like terms: 10x2 + -100x2 = -90x2
20 + -90x2 = -23 + 100x2 + -100x2

Combine like terms: 100x2 + -100x2 = 0
20 + -90x2 = -23 + 0
20 + -90x2 = -23

Add '-20' to each side of the equation.
20 + -20 + -90x2 = -23 + -20

Combine like terms: 20 + -20 = 0
0 + -90x2 = -23 + -20
-90x2 = -23 + -20

Combine like terms: -23 + -20 = -43
-90x2 = -43

Divide each side by '-90'.
x2 = 0.4777777778

Simplifying
x2 = 0.4777777778

Take the square root of each side:
x = {-0.691214712, 0.691214712}

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