4x^2+16x+15x=0

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Solution for 4x^2+16x+15x=0 equation: 


Simplifying
4x2 + 16x + 15x = 0

Reorder the terms:
16x + 15x + 4x2 = 0

Combine like terms: 16x + 15x = 31x
31x + 4x2 = 0

Solving
31x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(31 + 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 '(31 + 4x)' equal to zero and attempt to solve:

Simplifying
31 + 4x = 0

Solving
31 + 4x = 0

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

Add '-31' to each side of the equation.
31 + -31 + 4x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + 4x = 0 + -31
4x = 0 + -31

Combine like terms: 0 + -31 = -31
4x = -31

Divide each side by '4'.
x = -7.75

Simplifying
x = -7.75
Solution
x = {0, -7.75}

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