5+3x=4x(4x-2)

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Solution for 5+3x=4x(4x-2) equation: 


Simplifying
5 + 3x = 4x(4x + -2)

Reorder the terms:
5 + 3x = 4x(-2 + 4x)
5 + 3x = (-2 * 4x + 4x * 4x)
5 + 3x = (-8x + 16x2)

Solving
5 + 3x = -8x + 16x2

Solving for variable 'x'.

Combine like terms: 3x + 8x = 11x
5 + 11x + -16x2 = -8x + 16x2 + 8x + -16x2

Reorder the terms:
5 + 11x + -16x2 = -8x + 8x + 16x2 + -16x2

Combine like terms: -8x + 8x = 0
5 + 11x + -16x2 = 0 + 16x2 + -16x2
5 + 11x + -16x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
5 + 11x + -16x2 = 0

Factor a trinomial.
(1 + -1x)(5 + 16x) = 0


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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1

Subproblem 2
Set the factor '(5 + 16x)' equal to zero and attempt to solve:

Simplifying
5 + 16x = 0

Solving
5 + 16x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 16x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 16x = 0 + -5
16x = 0 + -5

Combine like terms: 0 + -5 = -5
16x = -5

Divide each side by '16'.
x = -0.3125

Simplifying
x = -0.3125
Solution
x = {1, -0.3125}

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