(9x+3)(x+9)=

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Solution for (9x+3)(x+9)= equation:


Simplifying
(9x + 3)(x + 9) = 0

Reorder the terms:
(3 + 9x)(x + 9) = 0

Reorder the terms:
(3 + 9x)(9 + x) = 0

Multiply (3 + 9x) * (9 + x)
(3(9 + x) + 9x * (9 + x)) = 0
((9 * 3 + x * 3) + 9x * (9 + x)) = 0
((27 + 3x) + 9x * (9 + x)) = 0
(27 + 3x + (9 * 9x + x * 9x)) = 0
(27 + 3x + (81x + 9x2)) = 0

Combine like terms: 3x + 81x = 84x
(27 + 84x + 9x2) = 0

Solving
27 + 84x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(9 + 28x + 3x2) = 0

Factor a trinomial.
3((9 + x)(1 + 3x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9

Subproblem 2

Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333

Solution

x = {-9, -0.3333333333}

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