((4x)(4x))+7x=0

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Solution for ((4x)(4x))+7x=0 equation: 


Simplifying
((4x)(4x)) + 7x = 0

Remove parenthesis around (4x)
(4x(4x)) + 7x = 0

Remove parenthesis around (4x)
(4x * 4x) + 7x = 0

Reorder the terms for easier multiplication:
(4 * 4x * x) + 7x = 0

Multiply 4 * 4
(16x * x) + 7x = 0

Multiply x * x
(16x2) + 7x = 0

Reorder the terms:
7x + (16x2) = 0

Solving
7x + (16x2) = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + (16x)) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(7 + (16x))' equal to zero and attempt to solve:

Simplifying
7 + (16x) = 0

Solving
7 + (16x) = 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 + (16x) = 0 + -7

Combine like terms: 7 + -7 = 0
0 + (16x) = 0 + -7
(16x) = 0 + -7

Combine like terms: 0 + -7 = -7
(16x) = -7

Divide each side by '16'.
x = -0.4375

Simplifying
x = -0.4375
Solution
x = {0, -0.4375}

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