(-4x-14)(-4x-14)=0

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Solution for (-4x-14)(-4x-14)=0 equation:


Simplifying
(-4x + -14)(-4x + -14) = 0

Reorder the terms:
(-14 + -4x)(-4x + -14) = 0

Reorder the terms:
(-14 + -4x)(-14 + -4x) = 0

Multiply (-14 + -4x) * (-14 + -4x)
(-14(-14 + -4x) + -4x * (-14 + -4x)) = 0
((-14 * -14 + -4x * -14) + -4x * (-14 + -4x)) = 0
((196 + 56x) + -4x * (-14 + -4x)) = 0
(196 + 56x + (-14 * -4x + -4x * -4x)) = 0
(196 + 56x + (56x + 16x2)) = 0

Combine like terms: 56x + 56x = 112x
(196 + 112x + 16x2) = 0

Solving
196 + 112x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(49 + 28x + 4x2) = 0

Factor a trinomial.
4((7 + 2x)(7 + 2x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 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 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5

Subproblem 2
Set the factor '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 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 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5
Solution
x = {-3.5, -3.5}

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