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Simplifying
3x(3x) + x(x) = 15(15)
Remove parenthesis around (3x)
3x * 3x + x(x) = 15(15)
Reorder the terms for easier multiplication:
3 * 3x * x + x(x) = 15(15)
Multiply 3 * 3
9x * x + x(x) = 15(15)
Multiply x * x
9x2 + x(x) = 15(15)
Multiply x * x
9x2 + x2 = 15(15)
Combine like terms: 9x2 + x2 = 10x2
10x2 = 15(15)
Multiply 15 * 15
10x2 = 225
Solving
10x2 = 225
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '10'.
x2 = 22.5
Simplifying
x2 = 22.5
Take the square root of each side:
x = {-4.74341649, 4.74341649}
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