(3m+2)*(x*x)+(4m+5)*X+7m=

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Solution for (3m+2)*(x*x)+(4m+5)*X+7m= equation: 


Simplifying
(3m + 2)(x * x) + (4m + 5) * X + 7m = 0

Reorder the terms:
(2 + 3m)(x * x) + (4m + 5) * X + 7m = 0

Multiply x * x
(2 + 3m)(x2) + (4m + 5) * X + 7m = 0

Reorder the terms for easier multiplication:
x2(2 + 3m) + (4m + 5) * X + 7m = 0
(2 * x2 + 3m * x2) + (4m + 5) * X + 7m = 0

Reorder the terms:
(3mx2 + 2x2) + (4m + 5) * X + 7m = 0
(3mx2 + 2x2) + (4m + 5) * X + 7m = 0

Reorder the terms:
3mx2 + 2x2 + (5 + 4m) * X + 7m = 0

Reorder the terms for easier multiplication:
3mx2 + 2x2 + X(5 + 4m) + 7m = 0
3mx2 + 2x2 + (5 * X + 4m * X) + 7m = 0
3mx2 + 2x2 + (5X + 4mX) + 7m = 0

Reorder the terms:
5X + 7m + 4mX + 3mx2 + 2x2 = 0

Solving
5X + 7m + 4mX + 3mx2 + 2x2 = 0

Solving for variable 'X'.

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

Add '-7m' to each side of the equation.
5X + 7m + 4mX + 3mx2 + -7m + 2x2 = 0 + -7m

Reorder the terms:
5X + 7m + -7m + 4mX + 3mx2 + 2x2 = 0 + -7m

Combine like terms: 7m + -7m = 0
5X + 0 + 4mX + 3mx2 + 2x2 = 0 + -7m
5X + 4mX + 3mx2 + 2x2 = 0 + -7m
Remove the zero:
5X + 4mX + 3mx2 + 2x2 = -7m

Add '-3mx2' to each side of the equation.
5X + 4mX + 3mx2 + -3mx2 + 2x2 = -7m + -3mx2

Combine like terms: 3mx2 + -3mx2 = 0
5X + 4mX + 0 + 2x2 = -7m + -3mx2
5X + 4mX + 2x2 = -7m + -3mx2

Add '-2x2' to each side of the equation.
5X + 4mX + 2x2 + -2x2 = -7m + -3mx2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
5X + 4mX + 0 = -7m + -3mx2 + -2x2
5X + 4mX = -7m + -3mx2 + -2x2

Reorder the terms:
5X + 7m + 4mX + 3mx2 + 2x2 = -7m + -3mx2 + -2x2 + 7m + 3mx2 + 2x2

Reorder the terms:
5X + 7m + 4mX + 3mx2 + 2x2 = -7m + 7m + -3mx2 + 3mx2 + -2x2 + 2x2

Combine like terms: -7m + 7m = 0
5X + 7m + 4mX + 3mx2 + 2x2 = 0 + -3mx2 + 3mx2 + -2x2 + 2x2
5X + 7m + 4mX + 3mx2 + 2x2 = -3mx2 + 3mx2 + -2x2 + 2x2

Combine like terms: -3mx2 + 3mx2 = 0
5X + 7m + 4mX + 3mx2 + 2x2 = 0 + -2x2 + 2x2
5X + 7m + 4mX + 3mx2 + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
5X + 7m + 4mX + 3mx2 + 2x2 = 0

The solution to this equation could not be determined.

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