(3x-1)(9x+7)=0

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Solution for (3x-1)(9x+7)=0 equation:


Simplifying
(3x + -1)(9x + 7) = 0

Reorder the terms:
(-1 + 3x)(9x + 7) = 0

Reorder the terms:
(-1 + 3x)(7 + 9x) = 0

Multiply (-1 + 3x) * (7 + 9x)
(-1(7 + 9x) + 3x * (7 + 9x)) = 0
((7 * -1 + 9x * -1) + 3x * (7 + 9x)) = 0
((-7 + -9x) + 3x * (7 + 9x)) = 0
(-7 + -9x + (7 * 3x + 9x * 3x)) = 0
(-7 + -9x + (21x + 27x2)) = 0

Combine like terms: -9x + 21x = 12x
(-7 + 12x + 27x2) = 0

Solving
-7 + 12x + 27x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -9x)(1 + -3x) = 0

Subproblem 1

Set the factor '(-7 + -9x)' equal to zero and attempt to solve: Simplifying -7 + -9x = 0 Solving -7 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -9x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = 0 + 7 -9x = 0 + 7 Combine like terms: 0 + 7 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778

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 = {-0.7777777778, 0.3333333333}

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