5=20-13x^2

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Solution for 5=20-13x^2 equation: 


Simplifying
5 = 20 + -13x2

Solving
5 = 20 + -13x2

Solving for variable 'x'.

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

Add '13x2' to each side of the equation.
5 + 13x2 = 20 + -13x2 + 13x2

Combine like terms: -13x2 + 13x2 = 0
5 + 13x2 = 20 + 0
5 + 13x2 = 20

Add '-5' to each side of the equation.
5 + -5 + 13x2 = 20 + -5

Combine like terms: 5 + -5 = 0
0 + 13x2 = 20 + -5
13x2 = 20 + -5

Combine like terms: 20 + -5 = 15
13x2 = 15

Divide each side by '13'.
x2 = 1.153846154

Simplifying
x2 = 1.153846154

Take the square root of each side:
x = {-1.074172311, 1.074172311}

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