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Simplifying
12 + 9x(3x) = 90
Remove parenthesis around (3x)
12 + 9x * 3x = 90
Reorder the terms for easier multiplication:
12 + 9 * 3x * x = 90
Multiply 9 * 3
12 + 27x * x = 90
Multiply x * x
12 + 27x2 = 90
Solving
12 + 27x2 = 90
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12' to each side of the equation.
12 + -12 + 27x2 = 90 + -12
Combine like terms: 12 + -12 = 0
0 + 27x2 = 90 + -12
27x2 = 90 + -12
Combine like terms: 90 + -12 = 78
27x2 = 78
Divide each side by '27'.
x2 = 2.888888889
Simplifying
x2 = 2.888888889
Take the square root of each side:
x = {-1.699673171, 1.699673171}
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