4x^2+16x+28=-4x+3

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Solution for 4x^2+16x+28=-4x+3 equation: 


Simplifying
4x2 + 16x + 28 = -4x + 3

Reorder the terms:
28 + 16x + 4x2 = -4x + 3

Reorder the terms:
28 + 16x + 4x2 = 3 + -4x

Solving
28 + 16x + 4x2 = 3 + -4x

Solving for variable 'x'.

Reorder the terms:
28 + -3 + 16x + 4x + 4x2 = 3 + -4x + -3 + 4x

Combine like terms: 28 + -3 = 25
25 + 16x + 4x + 4x2 = 3 + -4x + -3 + 4x

Combine like terms: 16x + 4x = 20x
25 + 20x + 4x2 = 3 + -4x + -3 + 4x

Reorder the terms:
25 + 20x + 4x2 = 3 + -3 + -4x + 4x

Combine like terms: 3 + -3 = 0
25 + 20x + 4x2 = 0 + -4x + 4x
25 + 20x + 4x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
25 + 20x + 4x2 = 0

Factor a trinomial.
(5 + 2x)(5 + 2x) = 0


Subproblem 1
Set the factor '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {-2.5, -2.5}

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