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Simplifying
(3x + -1)(9x + 3x + 1) + -9x(3x + -1) = 35
Reorder the terms:
(-1 + 3x)(9x + 3x + 1) + -9x(3x + -1) = 35
Reorder the terms:
(-1 + 3x)(1 + 9x + 3x) + -9x(3x + -1) = 35
Combine like terms: 9x + 3x = 12x
(-1 + 3x)(1 + 12x) + -9x(3x + -1) = 35
Multiply (-1 + 3x) * (1 + 12x)
(-1(1 + 12x) + 3x * (1 + 12x)) + -9x(3x + -1) = 35
((1 * -1 + 12x * -1) + 3x * (1 + 12x)) + -9x(3x + -1) = 35
((-1 + -12x) + 3x * (1 + 12x)) + -9x(3x + -1) = 35
(-1 + -12x + (1 * 3x + 12x * 3x)) + -9x(3x + -1) = 35
(-1 + -12x + (3x + 36x2)) + -9x(3x + -1) = 35
Combine like terms: -12x + 3x = -9x
(-1 + -9x + 36x2) + -9x(3x + -1) = 35
Reorder the terms:
-1 + -9x + 36x2 + -9x(-1 + 3x) = 35
-1 + -9x + 36x2 + (-1 * -9x + 3x * -9x) = 35
-1 + -9x + 36x2 + (9x + -27x2) = 35
Reorder the terms:
-1 + -9x + 9x + 36x2 + -27x2 = 35
Combine like terms: -9x + 9x = 0
-1 + 0 + 36x2 + -27x2 = 35
-1 + 36x2 + -27x2 = 35
Combine like terms: 36x2 + -27x2 = 9x2
-1 + 9x2 = 35
Solving
-1 + 9x2 = 35
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + 9x2 = 35 + 1
Combine like terms: -1 + 1 = 0
0 + 9x2 = 35 + 1
9x2 = 35 + 1
Combine like terms: 35 + 1 = 36
9x2 = 36
Divide each side by '9'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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