5x^2-25=4x^2+1

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Solution for 5x^2-25=4x^2+1 equation: 


Simplifying
5x2 + -25 = 4x2 + 1

Reorder the terms:
-25 + 5x2 = 4x2 + 1

Reorder the terms:
-25 + 5x2 = 1 + 4x2

Solving
-25 + 5x2 = 1 + 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
-25 + 5x2 + -4x2 = 1 + 4x2 + -4x2

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

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

Add '25' to each side of the equation.
-25 + 25 + 1x2 = 1 + 25

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

Combine like terms: 1 + 25 = 26
1x2 = 26

Divide each side by '1'.
x2 = 26

Simplifying
x2 = 26

Take the square root of each side:
x = {-5.099019514, 5.099019514}

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