(3x-18)*(7x+14)=0

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Solution for (3x-18)*(7x+14)=0 equation:


Simplifying
(3x + -18)(7x + 14) = 0

Reorder the terms:
(-18 + 3x)(7x + 14) = 0

Reorder the terms:
(-18 + 3x)(14 + 7x) = 0

Multiply (-18 + 3x) * (14 + 7x)
(-18(14 + 7x) + 3x * (14 + 7x)) = 0
((14 * -18 + 7x * -18) + 3x * (14 + 7x)) = 0
((-252 + -126x) + 3x * (14 + 7x)) = 0
(-252 + -126x + (14 * 3x + 7x * 3x)) = 0
(-252 + -126x + (42x + 21x2)) = 0

Combine like terms: -126x + 42x = -84x
(-252 + -84x + 21x2) = 0

Solving
-252 + -84x + 21x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '21'.
21(-12 + -4x + x2) = 0

Factor a trinomial.
21((-2 + -1x)(6 + -1x)) = 0

Ignore the factor 21.

Subproblem 1

Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2

Subproblem 2

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Solution

x = {-2, 6}

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