3x(3x)=x(x)+25

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Solution for 3x(3x)=x(x)+25 equation:


Simplifying
3x(3x) = x(x) + 25

Remove parenthesis around (3x)
3x * 3x = x(x) + 25

Reorder the terms for easier multiplication:
3 * 3x * x = x(x) + 25

Multiply 3 * 3
9x * x = x(x) + 25

Multiply x * x
9x2 = x(x) + 25

Multiply x * x
9x2 = x2 + 25

Reorder the terms:
9x2 = 25 + x2

Solving
9x2 = 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.
9x2 + -1x2 = 25 + x2 + -1x2

Combine like terms: 9x2 + -1x2 = 8x2
8x2 = 25 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8x2 = 25 + 0
8x2 = 25

Divide each side by '8'.
x2 = 3.125

Simplifying
x2 = 3.125

Take the square root of each side:
x = {-1.767766953, 1.767766953}

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