5x*5x+2=47

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Solution for 5x*5x+2=47 equation: 


Simplifying
5x * 5x + 2 = 47

Reorder the terms for easier multiplication:
5 * 5x * x + 2 = 47

Multiply 5 * 5
25x * x + 2 = 47

Multiply x * x
25x2 + 2 = 47

Reorder the terms:
2 + 25x2 = 47

Solving
2 + 25x2 = 47

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 25x2 = 47 + -2

Combine like terms: 2 + -2 = 0
0 + 25x2 = 47 + -2
25x2 = 47 + -2

Combine like terms: 47 + -2 = 45
25x2 = 45

Divide each side by '25'.
x2 = 1.8

Simplifying
x2 = 1.8

Take the square root of each side:
x = {-1.341640787, 1.341640787}

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