x^2+4x^2-25=x^2+25

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Solution for x^2+4x^2-25=x^2+25 equation:


Simplifying
x2 + 4x2 + -25 = x2 + 25

Reorder the terms:
-25 + x2 + 4x2 = x2 + 25

Combine like terms: x2 + 4x2 = 5x2
-25 + 5x2 = x2 + 25

Reorder the terms:
-25 + 5x2 = 25 + x2

Solving
-25 + 5x2 = 25 + 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.
-25 + 5x2 + -1x2 = 25 + x2 + -1x2

Combine like terms: 5x2 + -1x2 = 4x2
-25 + 4x2 = 25 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-25 + 4x2 = 25 + 0
-25 + 4x2 = 25

Add '25' to each side of the equation.
-25 + 25 + 4x2 = 25 + 25

Combine like terms: -25 + 25 = 0
0 + 4x2 = 25 + 25
4x2 = 25 + 25

Combine like terms: 25 + 25 = 50
4x2 = 50

Divide each side by '4'.
x2 = 12.5

Simplifying
x2 = 12.5

Take the square root of each side:
x = {-3.535533906, 3.535533906}

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