9x^2+16=25x^2-16

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Solution for 9x^2+16=25x^2-16 equation: 


Simplifying
9x2 + 16 = 25x2 + -16

Reorder the terms:
16 + 9x2 = 25x2 + -16

Reorder the terms:
16 + 9x2 = -16 + 25x2

Solving
16 + 9x2 = -16 + 25x2

Solving for variable 'x'.

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

Add '-25x2' to each side of the equation.
16 + 9x2 + -25x2 = -16 + 25x2 + -25x2

Combine like terms: 9x2 + -25x2 = -16x2
16 + -16x2 = -16 + 25x2 + -25x2

Combine like terms: 25x2 + -25x2 = 0
16 + -16x2 = -16 + 0
16 + -16x2 = -16

Add '-16' to each side of the equation.
16 + -16 + -16x2 = -16 + -16

Combine like terms: 16 + -16 = 0
0 + -16x2 = -16 + -16
-16x2 = -16 + -16

Combine like terms: -16 + -16 = -32
-16x2 = -32

Divide each side by '-16'.
x2 = 2

Simplifying
x2 = 2

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

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