(x+7)(2x+14)=0

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Solution for (x+7)(2x+14)=0 equation:


Simplifying
(x + 7)(2x + 14) = 0

Reorder the terms:
(7 + x)(2x + 14) = 0

Reorder the terms:
(7 + x)(14 + 2x) = 0

Multiply (7 + x) * (14 + 2x)
(7(14 + 2x) + x(14 + 2x)) = 0
((14 * 7 + 2x * 7) + x(14 + 2x)) = 0
((98 + 14x) + x(14 + 2x)) = 0
(98 + 14x + (14 * x + 2x * x)) = 0
(98 + 14x + (14x + 2x2)) = 0

Combine like terms: 14x + 14x = 28x
(98 + 28x + 2x2) = 0

Solving
98 + 28x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(49 + 14x + x2) = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7

Subproblem 2

Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7

Solution

x = {-7, -7}

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