(3x+7)(-2x-4)=

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Solution for (3x+7)(-2x-4)= equation:


Simplifying
(3x + 7)(-2x + -4) = 0

Reorder the terms:
(7 + 3x)(-2x + -4) = 0

Reorder the terms:
(7 + 3x)(-4 + -2x) = 0

Multiply (7 + 3x) * (-4 + -2x)
(7(-4 + -2x) + 3x * (-4 + -2x)) = 0
((-4 * 7 + -2x * 7) + 3x * (-4 + -2x)) = 0
((-28 + -14x) + 3x * (-4 + -2x)) = 0
(-28 + -14x + (-4 * 3x + -2x * 3x)) = 0
(-28 + -14x + (-12x + -6x2)) = 0

Combine like terms: -14x + -12x = -26x
(-28 + -26x + -6x2) = 0

Solving
-28 + -26x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(14 + 13x + 3x2) = 0

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

Ignore the factor -2.

Subproblem 1

Set the factor '(7 + 3x)' equal to zero and attempt to solve: Simplifying 7 + 3x = 0 Solving 7 + 3x = 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 + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 0 + -7 3x = 0 + -7 Combine like terms: 0 + -7 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {-2.333333333, -2}

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