(2m-5)x^2+mx+7=0

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Solution for (2m-5)x^2+mx+7=0 equation:


Simplifying
(2m + -5) * x2 + mx + 7 = 0

Reorder the terms:
(-5 + 2m) * x2 + mx + 7 = 0

Reorder the terms for easier multiplication:
x2(-5 + 2m) + mx + 7 = 0
(-5 * x2 + 2m * x2) + mx + 7 = 0

Reorder the terms:
(2mx2 + -5x2) + mx + 7 = 0
(2mx2 + -5x2) + mx + 7 = 0

Reorder the terms:
7 + mx + 2mx2 + -5x2 = 0

Solving
7 + mx + 2mx2 + -5x2 = 0

Solving for variable 'm'.

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

Add '-7' to each side of the equation.
7 + mx + 2mx2 + -7 + -5x2 = 0 + -7

Reorder the terms:
7 + -7 + mx + 2mx2 + -5x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + mx + 2mx2 + -5x2 = 0 + -7
mx + 2mx2 + -5x2 = 0 + -7

Combine like terms: 0 + -7 = -7
mx + 2mx2 + -5x2 = -7

Add '5x2' to each side of the equation.
mx + 2mx2 + -5x2 + 5x2 = -7 + 5x2

Combine like terms: -5x2 + 5x2 = 0
mx + 2mx2 + 0 = -7 + 5x2
mx + 2mx2 = -7 + 5x2

Reorder the terms:
7 + mx + 2mx2 + -5x2 = -7 + 5x2 + 7 + -5x2

Reorder the terms:
7 + mx + 2mx2 + -5x2 = -7 + 7 + 5x2 + -5x2

Combine like terms: -7 + 7 = 0
7 + mx + 2mx2 + -5x2 = 0 + 5x2 + -5x2
7 + mx + 2mx2 + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
7 + mx + 2mx2 + -5x2 = 0

The solution to this equation could not be determined.

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