13x^2+21=-5x^2+22

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Solution for 13x^2+21=-5x^2+22 equation: 


Simplifying
13x2 + 21 = -5x2 + 22

Reorder the terms:
21 + 13x2 = -5x2 + 22

Reorder the terms:
21 + 13x2 = 22 + -5x2

Solving
21 + 13x2 = 22 + -5x2

Solving for variable 'x'.

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

Add '5x2' to each side of the equation.
21 + 13x2 + 5x2 = 22 + -5x2 + 5x2

Combine like terms: 13x2 + 5x2 = 18x2
21 + 18x2 = 22 + -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
21 + 18x2 = 22 + 0
21 + 18x2 = 22

Add '-21' to each side of the equation.
21 + -21 + 18x2 = 22 + -21

Combine like terms: 21 + -21 = 0
0 + 18x2 = 22 + -21
18x2 = 22 + -21

Combine like terms: 22 + -21 = 1
18x2 = 1

Divide each side by '18'.
x2 = 0.05555555556

Simplifying
x2 = 0.05555555556

Take the square root of each side:
x = {-0.23570226, 0.23570226}

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