(3+7x)(2+6x)=

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Solution for (3+7x)(2+6x)= equation:


Simplifying
(3 + 7x)(2 + 6x) = 0

Multiply (3 + 7x) * (2 + 6x)
(3(2 + 6x) + 7x * (2 + 6x)) = 0
((2 * 3 + 6x * 3) + 7x * (2 + 6x)) = 0
((6 + 18x) + 7x * (2 + 6x)) = 0
(6 + 18x + (2 * 7x + 6x * 7x)) = 0
(6 + 18x + (14x + 42x2)) = 0

Combine like terms: 18x + 14x = 32x
(6 + 32x + 42x2) = 0

Solving
6 + 32x + 42x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 16x + 21x2) = 0

Factor a trinomial.
2((3 + 7x)(1 + 3x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(3 + 7x)' equal to zero and attempt to solve: Simplifying 3 + 7x = 0 Solving 3 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 0 + -3 7x = 0 + -3 Combine like terms: 0 + -3 = -3 7x = -3 Divide each side by '7'. x = -0.4285714286 Simplifying x = -0.4285714286

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 = {-0.4285714286, -0.3333333333}

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