-4(9x^2y+8)+6(10x^2y-6)=

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Solution for -4(9x^2y+8)+6(10x^2y-6)= equation:


Simplifying
-4(9x2y + 8) + 6(10x2y + -6) = 0

Reorder the terms:
-4(8 + 9x2y) + 6(10x2y + -6) = 0
(8 * -4 + 9x2y * -4) + 6(10x2y + -6) = 0
(-32 + -36x2y) + 6(10x2y + -6) = 0

Reorder the terms:
-32 + -36x2y + 6(-6 + 10x2y) = 0
-32 + -36x2y + (-6 * 6 + 10x2y * 6) = 0
-32 + -36x2y + (-36 + 60x2y) = 0

Reorder the terms:
-32 + -36 + -36x2y + 60x2y = 0

Combine like terms: -32 + -36 = -68
-68 + -36x2y + 60x2y = 0

Combine like terms: -36x2y + 60x2y = 24x2y
-68 + 24x2y = 0

Solving
-68 + 24x2y = 0

Solving for variable 'x'.

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

Add '68' to each side of the equation.
-68 + 68 + 24x2y = 0 + 68

Combine like terms: -68 + 68 = 0
0 + 24x2y = 0 + 68
24x2y = 0 + 68

Combine like terms: 0 + 68 = 68
24x2y = 68

Divide each side by '24y'.
x2 = 2.833333333y-1

Simplifying
x2 = 2.833333333y-1

Combine like terms: 2.833333333y-1 + -2.833333333y-1 = 0.000000000
x2 + -2.833333333y-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'y-1'.
y-1(x2y + -2.833333333) = 0.000000000

Subproblem 1

Set the factor 'y-1' equal to zero and attempt to solve: Simplifying y-1 = 0 Solving y-1 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-1' to each side of the equation. y-1 + -1y-1 = 0 + -1y-1 Remove the zero: 0 = -1y-1 Simplifying 0 = -1y-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(x2y + -2.833333333)' equal to zero and attempt to solve: Simplifying x2y + -2.833333333 = 0 Reorder the terms: -2.833333333 + x2y = 0 Solving -2.833333333 + x2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2.833333333' to each side of the equation. -2.833333333 + 2.833333333 + x2y = 0 + 2.833333333 Combine like terms: -2.833333333 + 2.833333333 = 0.000000000 0.000000000 + x2y = 0 + 2.833333333 x2y = 0 + 2.833333333 Combine like terms: 0 + 2.833333333 = 2.833333333 x2y = 2.833333333 Divide each side by 'y'. x2 = 2.833333333y-1 Simplifying x2 = 2.833333333y-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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