4x^2+1=25

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


Simplifying
4x2 + 1 = 25

Reorder the terms:
1 + 4x2 = 25

Solving
1 + 4x2 = 25

Solving for variable 'x'.

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

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

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

Combine like terms: 25 + -1 = 24
4x2 = 24

Divide each side by '4'.
x2 = 6

Simplifying
x2 = 6

Take the square root of each side:
x = {-2.449489743, 2.449489743}

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