x=4x^2+16x-4

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Solution for x=4x^2+16x-4 equation: 


Simplifying
x = 4x2 + 16x + -4

Reorder the terms:
x = -4 + 16x + 4x2

Solving
x = -4 + 16x + 4x2

Solving for variable 'x'.

Reorder the terms:
4 + x + -16x + -4x2 = -4 + 16x + 4x2 + 4 + -16x + -4x2

Combine like terms: x + -16x = -15x
4 + -15x + -4x2 = -4 + 16x + 4x2 + 4 + -16x + -4x2

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

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

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

Combine like terms: 4x2 + -4x2 = 0
4 + -15x + -4x2 = 0

Factor a trinomial.
(1 + -4x)(4 + x) = 0


Subproblem 1
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

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

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

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

Simplifying
x = -4
Solution
x = {0.25, -4}

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