5x(5x)+5=250

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Solution for 5x(5x)+5=250 equation:


Simplifying
5x(5x) + 5 = 250

Remove parenthesis around (5x)
5x * 5x + 5 = 250

Reorder the terms for easier multiplication:
5 * 5x * x + 5 = 250

Multiply 5 * 5
25x * x + 5 = 250

Multiply x * x
25x2 + 5 = 250

Reorder the terms:
5 + 25x2 = 250

Solving
5 + 25x2 = 250

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 25x2 = 250 + -5

Combine like terms: 5 + -5 = 0
0 + 25x2 = 250 + -5
25x2 = 250 + -5

Combine like terms: 250 + -5 = 245
25x2 = 245

Divide each side by '25'.
x2 = 9.8

Simplifying
x2 = 9.8

Take the square root of each side:
x = {-3.130495169, 3.130495169}

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