4*X*X+11*X+7=0

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Solution for 4*X*X+11*X+7=0 equation: 


Simplifying
4X * X + 11X + 7 = 0

Multiply X * X
4X2 + 11X + 7 = 0

Reorder the terms:
7 + 11X + 4X2 = 0

Solving
7 + 11X + 4X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(7 + 4X)(1 + X) = 0


Subproblem 1
Set the factor '(7 + 4X)' equal to zero and attempt to solve:

Simplifying
7 + 4X = 0

Solving
7 + 4X = 0

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

Add '-7' to each side of the equation.
7 + -7 + 4X = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4X = 0 + -7
4X = 0 + -7

Combine like terms: 0 + -7 = -7
4X = -7

Divide each side by '4'.
X = -1.75

Simplifying
X = -1.75

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

Simplifying
1 + X = 0

Solving
1 + X = 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 + X = 0 + -1

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

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

Simplifying
X = -1
Solution
X = {-1.75, -1}

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