163=4x^2+3x+1

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Solution for 163=4x^2+3x+1 equation: 


Simplifying
163 = 4x2 + 3x + 1

Reorder the terms:
163 = 1 + 3x + 4x2

Solving
163 = 1 + 3x + 4x2

Solving for variable 'x'.

Combine like terms: 163 + -1 = 162
162 + -3x + -4x2 = 1 + 3x + 4x2 + -1 + -3x + -4x2

Reorder the terms:
162 + -3x + -4x2 = 1 + -1 + 3x + -3x + 4x2 + -4x2

Combine like terms: 1 + -1 = 0
162 + -3x + -4x2 = 0 + 3x + -3x + 4x2 + -4x2
162 + -3x + -4x2 = 3x + -3x + 4x2 + -4x2

Combine like terms: 3x + -3x = 0
162 + -3x + -4x2 = 0 + 4x2 + -4x2
162 + -3x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
162 + -3x + -4x2 = 0

Factor a trinomial.
(6 + -1x)(27 + 4x) = 0


Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

Subproblem 2
Set the factor '(27 + 4x)' equal to zero and attempt to solve:

Simplifying
27 + 4x = 0

Solving
27 + 4x = 0

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

Add '-27' to each side of the equation.
27 + -27 + 4x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 4x = 0 + -27
4x = 0 + -27

Combine like terms: 0 + -27 = -27
4x = -27

Divide each side by '4'.
x = -6.75

Simplifying
x = -6.75
Solution
x = {6, -6.75}

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