4x^2+16x+7x=0

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Solution for 4x^2+16x+7x=0 equation: 


Simplifying
4x2 + 16x + 7x = 0

Reorder the terms:
16x + 7x + 4x2 = 0

Combine like terms: 16x + 7x = 23x
23x + 4x2 = 0

Solving
23x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(23 + 4x) = 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 '(23 + 4x)' equal to zero and attempt to solve:

Simplifying
23 + 4x = 0

Solving
23 + 4x = 0

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

Add '-23' to each side of the equation.
23 + -23 + 4x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 4x = 0 + -23
4x = 0 + -23

Combine like terms: 0 + -23 = -23
4x = -23

Divide each side by '4'.
x = -5.75

Simplifying
x = -5.75
Solution
x = {0, -5.75}

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