-x^2+4=9x^2+1

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Solution for -x^2+4=9x^2+1 equation: 


Simplifying
-1x2 + 4 = 9x2 + 1

Reorder the terms:
4 + -1x2 = 9x2 + 1

Reorder the terms:
4 + -1x2 = 1 + 9x2

Solving
4 + -1x2 = 1 + 9x2

Solving for variable 'x'.

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

Add '-9x2' to each side of the equation.
4 + -1x2 + -9x2 = 1 + 9x2 + -9x2

Combine like terms: -1x2 + -9x2 = -10x2
4 + -10x2 = 1 + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
4 + -10x2 = 1 + 0
4 + -10x2 = 1

Add '-4' to each side of the equation.
4 + -4 + -10x2 = 1 + -4

Combine like terms: 4 + -4 = 0
0 + -10x2 = 1 + -4
-10x2 = 1 + -4

Combine like terms: 1 + -4 = -3
-10x2 = -3

Divide each side by '-10'.
x2 = 0.3

Simplifying
x2 = 0.3

Take the square root of each side:
x = {-0.547722558, 0.547722558}

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