3-x^2=5x^2-9

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Solution for 3-x^2=5x^2-9 equation:


Simplifying
3 + -1x2 = 5x2 + -9

Reorder the terms:
3 + -1x2 = -9 + 5x2

Solving
3 + -1x2 = -9 + 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.
3 + -1x2 + -5x2 = -9 + 5x2 + -5x2

Combine like terms: -1x2 + -5x2 = -6x2
3 + -6x2 = -9 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
3 + -6x2 = -9 + 0
3 + -6x2 = -9

Add '-3' to each side of the equation.
3 + -3 + -6x2 = -9 + -3

Combine like terms: 3 + -3 = 0
0 + -6x2 = -9 + -3
-6x2 = -9 + -3

Combine like terms: -9 + -3 = -12
-6x2 = -12

Divide each side by '-6'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}

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