29x^2-3=8-20x^2

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Solution for 29x^2-3=8-20x^2 equation:


Simplifying
29x2 + -3 = 8 + -20x2

Reorder the terms:
-3 + 29x2 = 8 + -20x2

Solving
-3 + 29x2 = 8 + -20x2

Solving for variable 'x'.

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

Add '20x2' to each side of the equation.
-3 + 29x2 + 20x2 = 8 + -20x2 + 20x2

Combine like terms: 29x2 + 20x2 = 49x2
-3 + 49x2 = 8 + -20x2 + 20x2

Combine like terms: -20x2 + 20x2 = 0
-3 + 49x2 = 8 + 0
-3 + 49x2 = 8

Add '3' to each side of the equation.
-3 + 3 + 49x2 = 8 + 3

Combine like terms: -3 + 3 = 0
0 + 49x2 = 8 + 3
49x2 = 8 + 3

Combine like terms: 8 + 3 = 11
49x2 = 11

Divide each side by '49'.
x2 = 0.2244897959

Simplifying
x2 = 0.2244897959

Take the square root of each side:
x = {-0.473803541, 0.473803541}

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