(2a+3)*x^2-X=0

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Solution for (2a+3)*x^2-X=0 equation:


Simplifying
(2a + 3) * x2 + -1X = 0

Reorder the terms:
(3 + 2a) * x2 + -1X = 0

Reorder the terms for easier multiplication:
x2(3 + 2a) + -1X = 0
(3 * x2 + 2a * x2) + -1X = 0

Reorder the terms:
(2ax2 + 3x2) + -1X = 0
(2ax2 + 3x2) + -1X = 0

Reorder the terms:
-1X + 2ax2 + 3x2 = 0

Solving
-1X + 2ax2 + 3x2 = 0

Solving for variable 'X'.

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

Add '-2ax2' to each side of the equation.
-1X + 2ax2 + -2ax2 + 3x2 = 0 + -2ax2

Combine like terms: 2ax2 + -2ax2 = 0
-1X + 0 + 3x2 = 0 + -2ax2
-1X + 3x2 = 0 + -2ax2
Remove the zero:
-1X + 3x2 = -2ax2

Add '-3x2' to each side of the equation.
-1X + 3x2 + -3x2 = -2ax2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-1X + 0 = -2ax2 + -3x2
-1X = -2ax2 + -3x2

Divide each side by '-1'.
X = 2ax2 + 3x2

Simplifying
X = 2ax2 + 3x2

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