(4x^2-9y-8)-(-3y-1)=0

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Solution for (4x^2-9y-8)-(-3y-1)=0 equation:


Simplifying
(4x2 + -9y + -8) + -1(-3y + -1) = 0

Reorder the terms:
(-8 + 4x2 + -9y) + -1(-3y + -1) = 0

Remove parenthesis around (-8 + 4x2 + -9y)
-8 + 4x2 + -9y + -1(-3y + -1) = 0

Reorder the terms:
-8 + 4x2 + -9y + -1(-1 + -3y) = 0
-8 + 4x2 + -9y + (-1 * -1 + -3y * -1) = 0
-8 + 4x2 + -9y + (1 + 3y) = 0

Reorder the terms:
-8 + 1 + 4x2 + -9y + 3y = 0

Combine like terms: -8 + 1 = -7
-7 + 4x2 + -9y + 3y = 0

Combine like terms: -9y + 3y = -6y
-7 + 4x2 + -6y = 0

Solving
-7 + 4x2 + -6y = 0

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 4x2 + 7 + -6y = 0 + 7

Reorder the terms:
-7 + 7 + 4x2 + -6y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 4x2 + -6y = 0 + 7
4x2 + -6y = 0 + 7

Combine like terms: 0 + 7 = 7
4x2 + -6y = 7

Add '6y' to each side of the equation.
4x2 + -6y + 6y = 7 + 6y

Combine like terms: -6y + 6y = 0
4x2 + 0 = 7 + 6y
4x2 = 7 + 6y

Divide each side by '4'.
x2 = 1.75 + 1.5y

Simplifying
x2 = 1.75 + 1.5y

Reorder the terms:
-1.75 + x2 + -1.5y = 1.75 + 1.5y + -1.75 + -1.5y

Reorder the terms:
-1.75 + x2 + -1.5y = 1.75 + -1.75 + 1.5y + -1.5y

Combine like terms: 1.75 + -1.75 = 0.00
-1.75 + x2 + -1.5y = 0.00 + 1.5y + -1.5y
-1.75 + x2 + -1.5y = 1.5y + -1.5y

Combine like terms: 1.5y + -1.5y = 0.0
-1.75 + x2 + -1.5y = 0.0

The solution to this equation could not be determined.

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