9x^2+(4m+3)x+(4m-4)=0

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Solution for 9x^2+(4m+3)x+(4m-4)=0 equation:


Simplifying
9x2 + (4m + 3) * x + (4m + -4) = 0

Reorder the terms:
9x2 + (3 + 4m) * x + (4m + -4) = 0

Reorder the terms for easier multiplication:
9x2 + x(3 + 4m) + (4m + -4) = 0
9x2 + (3 * x + 4m * x) + (4m + -4) = 0

Reorder the terms:
9x2 + (4mx + 3x) + (4m + -4) = 0
9x2 + (4mx + 3x) + (4m + -4) = 0

Reorder the terms:
9x2 + 4mx + 3x + (-4 + 4m) = 0

Remove parenthesis around (-4 + 4m)
9x2 + 4mx + 3x + -4 + 4m = 0

Reorder the terms:
-4 + 4m + 4mx + 3x + 9x2 = 0

Solving
-4 + 4m + 4mx + 3x + 9x2 = 0

Solving for variable 'm'.

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

Add '4' to each side of the equation.
-4 + 4m + 4mx + 3x + 4 + 9x2 = 0 + 4

Reorder the terms:
-4 + 4 + 4m + 4mx + 3x + 9x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 4m + 4mx + 3x + 9x2 = 0 + 4
4m + 4mx + 3x + 9x2 = 0 + 4

Combine like terms: 0 + 4 = 4
4m + 4mx + 3x + 9x2 = 4

Add '-3x' to each side of the equation.
4m + 4mx + 3x + -3x + 9x2 = 4 + -3x

Combine like terms: 3x + -3x = 0
4m + 4mx + 0 + 9x2 = 4 + -3x
4m + 4mx + 9x2 = 4 + -3x

Add '-9x2' to each side of the equation.
4m + 4mx + 9x2 + -9x2 = 4 + -3x + -9x2

Combine like terms: 9x2 + -9x2 = 0
4m + 4mx + 0 = 4 + -3x + -9x2
4m + 4mx = 4 + -3x + -9x2

Reorder the terms:
-4 + 4m + 4mx + 3x + 9x2 = 4 + -3x + -9x2 + -4 + 3x + 9x2

Reorder the terms:
-4 + 4m + 4mx + 3x + 9x2 = 4 + -4 + -3x + 3x + -9x2 + 9x2

Combine like terms: 4 + -4 = 0
-4 + 4m + 4mx + 3x + 9x2 = 0 + -3x + 3x + -9x2 + 9x2
-4 + 4m + 4mx + 3x + 9x2 = -3x + 3x + -9x2 + 9x2

Combine like terms: -3x + 3x = 0
-4 + 4m + 4mx + 3x + 9x2 = 0 + -9x2 + 9x2
-4 + 4m + 4mx + 3x + 9x2 = -9x2 + 9x2

Combine like terms: -9x2 + 9x2 = 0
-4 + 4m + 4mx + 3x + 9x2 = 0

The solution to this equation could not be determined.

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