15-3x^2=x^2-1

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Solution for 15-3x^2=x^2-1 equation: 


Simplifying
15 + -3x2 = x2 + -1

Reorder the terms:
15 + -3x2 = -1 + x2

Solving
15 + -3x2 = -1 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
15 + -3x2 + -1x2 = -1 + x2 + -1x2

Combine like terms: -3x2 + -1x2 = -4x2
15 + -4x2 = -1 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
15 + -4x2 = -1 + 0
15 + -4x2 = -1

Add '-15' to each side of the equation.
15 + -15 + -4x2 = -1 + -15

Combine like terms: 15 + -15 = 0
0 + -4x2 = -1 + -15
-4x2 = -1 + -15

Combine like terms: -1 + -15 = -16
-4x2 = -16

Divide each side by '-4'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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